{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "plt.rcParams['figure.figsize'] = (4, 4)\n",
    "plt.rcParams['figure.dpi'] = 150\n",
    "plt.rcParams['lines.linewidth'] = 1\n",
    "sns.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import requests\n",
    "\n",
    "\n",
    "def fetch():\n",
    "    path = r'D:\\Programing\\python_projects\\machine_learning_algorithm\\data_set\\nba.csv'\n",
    "    if not os.path.exists(path):\n",
    "        url = 'https://stats.nba.com/stats/leaguegamelog/'\n",
    "        params = (\n",
    "            ('Counter', '0'),\n",
    "            ('DateFrom', ''),\n",
    "            ('DateTo', ''),\n",
    "            ('Direction', 'ASC'),\n",
    "            ('LeagueID', '00'),\n",
    "            ('PlayerOrTeam', 'T'),\n",
    "            ('Season', '2017-18'),\n",
    "            ('SeasonType', 'Regular Season'),\n",
    "            ('Sorter', 'DATE'),\n",
    "        )\n",
    "        headers = {'User-Agent': 'PostmanRuntime/7.4.0'}\n",
    "        response = requests.get(url, params=params, headers=headers)\n",
    "        data = response.json()['resultSets'][0]\n",
    "        df = pd.DataFrame(data=data['rowSet'], columns=data['headers'])\n",
    "        df.to_csv(path, index=False)\n",
    "        return df\n",
    "    else:\n",
    "        return pd.read_csv(path)\n",
    "\n",
    "\n",
    "df = fetch()\n",
    "orig = df.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th>GAME_ID</th>\n",
       "      <th>GAME_DATE</th>\n",
       "      <th>MATCHUP</th>\n",
       "      <th>WL</th>\n",
       "      <th>MIN</th>\n",
       "      <th>FGM</th>\n",
       "      <th>...</th>\n",
       "      <th>DREB</th>\n",
       "      <th>REB</th>\n",
       "      <th>AST</th>\n",
       "      <th>STL</th>\n",
       "      <th>BLK</th>\n",
       "      <th>TOV</th>\n",
       "      <th>PF</th>\n",
       "      <th>PTS</th>\n",
       "      <th>PLUS_MINUS</th>\n",
       "      <th>VIDEO_AVAILABLE</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>22018</td>\n",
       "      <td>1610612744</td>\n",
       "      <td>GSW</td>\n",
       "      <td>Golden State Warriors</td>\n",
       "      <td>21800002</td>\n",
       "      <td>2018-10-16</td>\n",
       "      <td>GSW vs. OKC</td>\n",
       "      <td>W</td>\n",
       "      <td>240</td>\n",
       "      <td>42</td>\n",
       "      <td>...</td>\n",
       "      <td>41</td>\n",
       "      <td>58</td>\n",
       "      <td>28</td>\n",
       "      <td>7</td>\n",
       "      <td>7</td>\n",
       "      <td>21</td>\n",
       "      <td>29</td>\n",
       "      <td>108</td>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>22018</td>\n",
       "      <td>1610612760</td>\n",
       "      <td>OKC</td>\n",
       "      <td>Oklahoma City Thunder</td>\n",
       "      <td>21800002</td>\n",
       "      <td>2018-10-16</td>\n",
       "      <td>OKC @ GSW</td>\n",
       "      <td>L</td>\n",
       "      <td>240</td>\n",
       "      <td>33</td>\n",
       "      <td>...</td>\n",
       "      <td>29</td>\n",
       "      <td>45</td>\n",
       "      <td>21</td>\n",
       "      <td>12</td>\n",
       "      <td>6</td>\n",
       "      <td>15</td>\n",
       "      <td>21</td>\n",
       "      <td>100</td>\n",
       "      <td>-8</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>22018</td>\n",
       "      <td>1610612755</td>\n",
       "      <td>PHI</td>\n",
       "      <td>Philadelphia 76ers</td>\n",
       "      <td>21800001</td>\n",
       "      <td>2018-10-16</td>\n",
       "      <td>PHI @ BOS</td>\n",
       "      <td>L</td>\n",
       "      <td>240</td>\n",
       "      <td>34</td>\n",
       "      <td>...</td>\n",
       "      <td>41</td>\n",
       "      <td>47</td>\n",
       "      <td>18</td>\n",
       "      <td>8</td>\n",
       "      <td>5</td>\n",
       "      <td>16</td>\n",
       "      <td>20</td>\n",
       "      <td>87</td>\n",
       "      <td>-18</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>22018</td>\n",
       "      <td>1610612738</td>\n",
       "      <td>BOS</td>\n",
       "      <td>Boston Celtics</td>\n",
       "      <td>21800001</td>\n",
       "      <td>2018-10-16</td>\n",
       "      <td>BOS vs. PHI</td>\n",
       "      <td>W</td>\n",
       "      <td>240</td>\n",
       "      <td>42</td>\n",
       "      <td>...</td>\n",
       "      <td>43</td>\n",
       "      <td>55</td>\n",
       "      <td>21</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>15</td>\n",
       "      <td>20</td>\n",
       "      <td>105</td>\n",
       "      <td>18</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>22018</td>\n",
       "      <td>1610612750</td>\n",
       "      <td>MIN</td>\n",
       "      <td>Minnesota Timberwolves</td>\n",
       "      <td>21800010</td>\n",
       "      <td>2018-10-17</td>\n",
       "      <td>MIN @ SAS</td>\n",
       "      <td>L</td>\n",
       "      <td>240</td>\n",
       "      <td>39</td>\n",
       "      <td>...</td>\n",
       "      <td>32</td>\n",
       "      <td>46</td>\n",
       "      <td>20</td>\n",
       "      <td>9</td>\n",
       "      <td>2</td>\n",
       "      <td>11</td>\n",
       "      <td>27</td>\n",
       "      <td>108</td>\n",
       "      <td>-4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 29 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   SEASON_ID     TEAM_ID TEAM_ABBREVIATION               TEAM_NAME   GAME_ID  \\\n",
       "0      22018  1610612744               GSW   Golden State Warriors  21800002   \n",
       "1      22018  1610612760               OKC   Oklahoma City Thunder  21800002   \n",
       "2      22018  1610612755               PHI      Philadelphia 76ers  21800001   \n",
       "3      22018  1610612738               BOS          Boston Celtics  21800001   \n",
       "4      22018  1610612750               MIN  Minnesota Timberwolves  21800010   \n",
       "\n",
       "    GAME_DATE      MATCHUP WL  MIN  FGM  ...  DREB  REB  AST  STL  BLK  TOV  \\\n",
       "0  2018-10-16  GSW vs. OKC  W  240   42  ...    41   58   28    7    7   21   \n",
       "1  2018-10-16    OKC @ GSW  L  240   33  ...    29   45   21   12    6   15   \n",
       "2  2018-10-16    PHI @ BOS  L  240   34  ...    41   47   18    8    5   16   \n",
       "3  2018-10-16  BOS vs. PHI  W  240   42  ...    43   55   21    7    5   15   \n",
       "4  2018-10-17    MIN @ SAS  L  240   39  ...    32   46   20    9    2   11   \n",
       "\n",
       "   PF  PTS  PLUS_MINUS  VIDEO_AVAILABLE  \n",
       "0  29  108           8                1  \n",
       "1  21  100          -8                1  \n",
       "2  20   87         -18                1  \n",
       "3  20  105          18                1  \n",
       "4  27  108          -4                1  \n",
       "\n",
       "[5 rows x 29 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
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       "      <th></th>\n",
       "      <th>SEASON_ID</th>\n",
       "      <th>TEAM_ID</th>\n",
       "      <th>TEAM_ABBREVIATION</th>\n",
       "      <th>TEAM_NAME</th>\n",
       "      <th>GAME_ID</th>\n",
       "      <th>GAME_DATE</th>\n",
       "      <th>MATCHUP</th>\n",
       "      <th>WL</th>\n",
       "      <th>MIN</th>\n",
       "      <th>FGM</th>\n",
       "      <th>...</th>\n",
       "      <th>REB</th>\n",
       "      <th>AST</th>\n",
       "      <th>STL</th>\n",
       "      <th>BLK</th>\n",
       "      <th>TOV</th>\n",
       "      <th>PF</th>\n",
       "      <th>PTS</th>\n",
       "      <th>PLUS_MINUS</th>\n",
       "      <th>VIDEO_AVAILABLE</th>\n",
       "      <th>WON</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>22018</td>\n",
       "      <td>1610612744</td>\n",
       "      <td>GSW</td>\n",
       "      <td>Golden State Warriors</td>\n",
       "      <td>21800002</td>\n",
       "      <td>2018-10-16</td>\n",
       "      <td>GSW vs. OKC</td>\n",
       "      <td>W</td>\n",
       "      <td>240</td>\n",
       "      <td>42</td>\n",
       "      <td>...</td>\n",
       "      <td>58</td>\n",
       "      <td>28</td>\n",
       "      <td>7</td>\n",
       "      <td>7</td>\n",
       "      <td>21</td>\n",
       "      <td>29</td>\n",
       "      <td>108</td>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>22018</td>\n",
       "      <td>1610612760</td>\n",
       "      <td>OKC</td>\n",
       "      <td>Oklahoma City Thunder</td>\n",
       "      <td>21800002</td>\n",
       "      <td>2018-10-16</td>\n",
       "      <td>OKC @ GSW</td>\n",
       "      <td>L</td>\n",
       "      <td>240</td>\n",
       "      <td>33</td>\n",
       "      <td>...</td>\n",
       "      <td>45</td>\n",
       "      <td>21</td>\n",
       "      <td>12</td>\n",
       "      <td>6</td>\n",
       "      <td>15</td>\n",
       "      <td>21</td>\n",
       "      <td>100</td>\n",
       "      <td>-8</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>22018</td>\n",
       "      <td>1610612755</td>\n",
       "      <td>PHI</td>\n",
       "      <td>Philadelphia 76ers</td>\n",
       "      <td>21800001</td>\n",
       "      <td>2018-10-16</td>\n",
       "      <td>PHI @ BOS</td>\n",
       "      <td>L</td>\n",
       "      <td>240</td>\n",
       "      <td>34</td>\n",
       "      <td>...</td>\n",
       "      <td>47</td>\n",
       "      <td>18</td>\n",
       "      <td>8</td>\n",
       "      <td>5</td>\n",
       "      <td>16</td>\n",
       "      <td>20</td>\n",
       "      <td>87</td>\n",
       "      <td>-18</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>22018</td>\n",
       "      <td>1610612738</td>\n",
       "      <td>BOS</td>\n",
       "      <td>Boston Celtics</td>\n",
       "      <td>21800001</td>\n",
       "      <td>2018-10-16</td>\n",
       "      <td>BOS vs. PHI</td>\n",
       "      <td>W</td>\n",
       "      <td>240</td>\n",
       "      <td>42</td>\n",
       "      <td>...</td>\n",
       "      <td>55</td>\n",
       "      <td>21</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>15</td>\n",
       "      <td>20</td>\n",
       "      <td>105</td>\n",
       "      <td>18</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>22018</td>\n",
       "      <td>1610612750</td>\n",
       "      <td>MIN</td>\n",
       "      <td>Minnesota Timberwolves</td>\n",
       "      <td>21800010</td>\n",
       "      <td>2018-10-17</td>\n",
       "      <td>MIN @ SAS</td>\n",
       "      <td>L</td>\n",
       "      <td>240</td>\n",
       "      <td>39</td>\n",
       "      <td>...</td>\n",
       "      <td>46</td>\n",
       "      <td>20</td>\n",
       "      <td>9</td>\n",
       "      <td>2</td>\n",
       "      <td>11</td>\n",
       "      <td>27</td>\n",
       "      <td>108</td>\n",
       "      <td>-4</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 30 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   SEASON_ID     TEAM_ID TEAM_ABBREVIATION               TEAM_NAME   GAME_ID  \\\n",
       "0      22018  1610612744               GSW   Golden State Warriors  21800002   \n",
       "1      22018  1610612760               OKC   Oklahoma City Thunder  21800002   \n",
       "2      22018  1610612755               PHI      Philadelphia 76ers  21800001   \n",
       "3      22018  1610612738               BOS          Boston Celtics  21800001   \n",
       "4      22018  1610612750               MIN  Minnesota Timberwolves  21800010   \n",
       "\n",
       "    GAME_DATE      MATCHUP WL  MIN  FGM  ...  REB  AST  STL  BLK  TOV  PF  \\\n",
       "0  2018-10-16  GSW vs. OKC  W  240   42  ...   58   28    7    7   21  29   \n",
       "1  2018-10-16    OKC @ GSW  L  240   33  ...   45   21   12    6   15  21   \n",
       "2  2018-10-16    PHI @ BOS  L  240   34  ...   47   18    8    5   16  20   \n",
       "3  2018-10-16  BOS vs. PHI  W  240   42  ...   55   21    7    5   15  20   \n",
       "4  2018-10-17    MIN @ SAS  L  240   39  ...   46   20    9    2   11  27   \n",
       "\n",
       "   PTS  PLUS_MINUS  VIDEO_AVAILABLE  WON  \n",
       "0  108           8                1    1  \n",
       "1  100          -8                1    0  \n",
       "2   87         -18                1    0  \n",
       "3  105          18                1    1  \n",
       "4  108          -4                1    0  \n",
       "\n",
       "[5 rows x 30 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['WON'] = df['WL']\n",
    "df['WON'] = df['WON'].replace('W', 1)\n",
    "df['WON'] = df['WON'].replace('L', 0)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>TEAM_NAME</th>\n",
       "      <th>GAME_ID</th>\n",
       "      <th>PTS</th>\n",
       "      <th>WON</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Golden State Warriors</td>\n",
       "      <td>21800002</td>\n",
       "      <td>108</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Oklahoma City Thunder</td>\n",
       "      <td>21800002</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Philadelphia 76ers</td>\n",
       "      <td>21800001</td>\n",
       "      <td>87</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Boston Celtics</td>\n",
       "      <td>21800001</td>\n",
       "      <td>105</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Minnesota Timberwolves</td>\n",
       "      <td>21800010</td>\n",
       "      <td>108</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                TEAM_NAME   GAME_ID  PTS  WON\n",
       "0   Golden State Warriors  21800002  108    1\n",
       "1   Oklahoma City Thunder  21800002  100    0\n",
       "2      Philadelphia 76ers  21800001   87    0\n",
       "3          Boston Celtics  21800001  105    1\n",
       "4  Minnesota Timberwolves  21800010  108    0"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = df[[\"TEAM_NAME\", \"GAME_ID\", \"PTS\", \"WON\"]]\n",
    "df.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "TEAM_NAME    Golden State Warriors\n",
       "GAME_ID                   21800002\n",
       "PTS                            108\n",
       "WON                              1\n",
       "Name: 0, dtype: object"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.iloc[0, :]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# will make our figures later look nicer\n",
    "df = df.sort_values(\"PTS\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using Linear Regression to Predict Game Outcome"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df[\"PTS\"], df[\"WON\"], 'o')\n",
    "plt.xlabel(\"PTS\")\n",
    "plt.ylabel(\"WON\")\n",
    "plt.savefig('WON_vs_PTS.png', dpi=300, bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Suppose we want to try to predict who wins a game based only on the number of points scored by team A."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df['PTS'], df['WON'] + np.random.uniform(-0.05, 0.05, len(df['WON'])),\n",
    "         'o')\n",
    "plt.xlabel('PTS')\n",
    "plt.ylabel('WON')\n",
    "plt.savefig('WON_vs_PTS_jittered.png', dpi=300, bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One naive approach is to simply use linear regression to try to predict the \"WIN\" variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=1, normalize=False)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "lr = LinearRegression()\n",
    "lr.fit(df[['PTS']], df['WON'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.01834306])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.5399052486834521"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.intercept_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predictions = lr.predict(df[['PTS']])\n",
    "plt.plot(df[['PTS']], predictions)\n",
    "plt.xlabel('PTS')\n",
    "plt.ylabel('WON')\n",
    "plt.savefig('WON_vs_PTS_linear_regression.png', DPI=300, bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Linear model provides a number that we need to somehow convert into a classification. Can think of this number as how confident we are on that the team will win. With that in mind, we can pick an arbitrary threshold, say 0.5, to convert into a classification."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def convert_to_classifications(predictions):\n",
    "    return [1 if x > 0.5 else 0 for x in predictions]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "classifications = convert_to_classifications(predictions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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RfmwNdTedBPxoUC/ERIXh6yOVfmlDSi8jfj7VdV5poImLa/vuqq/3vsaeaLpe/VFv6wEI6tPj440wGJQnrjMQ+kFiYiKOHj2K6mrX+Qb23CB7rhCRN4b2T8DRU76vOWII0+FPD2chLjocR07WBHcg5DQpUW8zosiS4sfWUHdJiI3ApB/3w/jRKYiLDsfL6w+iyOKf1VthUQkIS/2RX17bW8YfbigbNXxD6SucGvtBRkYGAHRaJ8j+e/vjiLzRndWn437YXDImMrjvc5wDIRtYsiAUZKTF4/l5N2B61kDHv3N/BvtcNRYcGAj9YMKECQCAzz77DDZb+3wOs9nsqB80adKkbm8baV/3VZ+W0WBqxe//3zc4XdnQDa/nP5JTICQzEApqkgRMGJOCBbNGwxDWfvTHX7V89DoJ40dzFDIYhFwgZDabUVpaitLSUpjNl/Por7nmGowcORKlpaVYtmyZIynaarVi6dKlqKiowI033ojhw4f7q+mkcd1Rfdpmk/H4a7twrib4c8100uUbFo4IBbf//vmPMfeWYVcEQYD/Nj0eNyrZMSpF2hbcY+cuVFZWYtq0aQDaqkQ7b8fxxz/+EXfffTdef/11bNu2Denp6Th27BjOnDmDfv364dlnn/VXs0nj6htbsfNwOXQS0MNowEWTbxazWm1AU0vw5gU5az81FnL3dCHl5fWHMG5UMuZMSb8iGLpxVDL+lX8SVi82ENNJwC2ZA3D63EU0t1oRGa7HkH5xOHKqBqXfX3T7/Iy0eMyZku71+6DAFHKBUFfS09PxwQcfYMWKFcjLy8MXX3yBpKQk3HPPPXjooYfQu3dvfzeRNKbVbMW6z4/jq28rvOqoyb12gZDMEaFgZrXJ+PJQOc5dMGH+XaMR7rRCyD7tvNOLneDHj05BzsTBV/z+1hsG4N1tx5Ff4Przal+R6SogI+2SZBbGCRhcPu+aVpfPt5qteOX9w8I3eqQ2t0Xtx01Rbdvp5DcPxQbTDX5uEXWHCWNSMPeWYe1+12BqxeOv7fJoNDQqQo8/PZSF6ChDp4+pb2xF3uFyFJ2pdYwYZfRPcKxU0yKt9qOe4PJ5ogC17vPjDIJ8iKvGQlN+QQVmjB/ULiD5x5cnPJ4Sbmqx4h9fll4RTDlz3iaHgh8DISIfqG9o8clu13SZJHHVWCiy2mTkHS53BClKPmuugil37Hl+xUE0SkRtGAgR+cDOTnIMSBwduGosVBWdqXUEQko+ax2Dqa50led39FQt/pl/knlDGselFkQ+UHzG91WkQx2TpUOXcxFFpZ+1Ig+e12q24uX3DmHn4fJOgy17IvfL6w+h1RwaKzaDDQMhIh8I5q0tAoXE5fMhy7mIYkOzRdE5PPmMrtlajONn6z06X/HZeqz9rFhRW8i/2HsQ+YC/qt2GEr3EZOlQldE/Aa1mK1Z/UojT55StgnL3Ga1vaMFXR7zMPfq2AvWNrYraQ/7DQIjIB/xV7TaUcIuN0KTXSci8ui9eef+wV7WDOnK3T9hn+8rgbXEZWQY+21umuE3kHwyEiHygOzdZDVXMEQoOyb2MXj1+3KhkbP76tOrSFM2t1i5Hb/YVVis6777CKqVNIj9hIETkA923yWro4qox7TNGhOEnQ3tjcL8eHj0+Iy0ePxs7QEhpin9/cxoLV36Ftz4thNnSPl+ovrEVNZeaFZ33UhOnxrSGy+eJfGTOlHRU1phYVNFHODWmfaYWCz7edQY6qW1kqKq2ye3WFp/uKRNWmqLj1h0AuCWOjwRyHSYGQkQ+Em7QY/5do/HutuPYebjc63wD6prOKVnaysFtTbPJQMUFEwan9MCPBvXE6apGNLVYECbhii9LX5SmKCqrw5rPilFd26T6xiW2i607QpEW6jAxECLyoXCDHnNvGYbJ16Ti6Tf3MBgSyDlHSGaOUFAoLb+I1MQYPDMvC4DrfbF8VZriq4IKiPh4jhzEzbntPNlvsasNdbsLb6OIukFaYgzGj0rxdzOCCvcaC075BRWo7SI/x1elKUTdo0SE82vVzpv9FovK6vDutuM+bpFr/Bsj6iZzpqQjIy3e380IGgyEgpPVJuOz3Wc6PR7opSmU1jUKNkr3gPNHHSYGQkTdxJ4zNGFMCpfWCyBJl1eNMVk6uHxber7TY4FemoJV5duo2QOuuzEQIupG9pyhlx7JxswbB+HqgQkYnNID0ZFM1/MWR4SCV1NL59tmBHppClaVb+PLPeBEY+9L5CURy0DjosMxPWugY/frTV+fwoc7T/iw1cGHBRWDV1RE119NgVyawl3F6lChdGTMHyNqDISIPOTLZaA3jkrGv/JPsnaJF7jpavAaOfjyyqvObjz+z/Th+Peu08hXMAXjK3qdhPGjuSgCUD4y5o8RNQZCRB7w9TJQ+3C/mr2TQo2eU2NBSa+TMDWzP1p+2FTV3Y3H8/NuQH5BBT7bdxamLqbU3JEkqC5vMW5Ust+LAwaKof0TcPSU99Nc/hhR420UkQe6YxkoV5V5R+Lu80Fp3KhkGCMNePr1Xdh5uLzT0R77jcffPj6GW28YgGWPZiteiJCRFq867ygjLR5zpqSrOkcwUZLU7q8RNQZCRG501zJQ51VlEr/X3WJBxeBjDyZe/+hbHCm94NFz7DcerhYiXJUci4SY8E4/T3qdhAljUrBg1mjcPXWoohsR53P4qzJyIFKS1O6vETVOjRG5oWYZqD0Z2lP2zrziggnFAZgIGki46WrwcN5LzNRswba9ndcRciW/oAIzxg9CXHT4FQsRgLY8o7zD5Shys8DBviVOZ3lHkgTEx0QgPiYcxoiwgNkrK1B5k9TuzxE1BkJEbqhZBuptIGTXwlokbnH5vHZFR4YhqafRZUCys6AMFqvYGw9XwZEr9huRGeMHeRQ4Udec91vsLLh0DoK51xhRgPLHMtCu6qhQm/a7z3OWX0t+en3/ToMSf9x4dORp4ETuaSG4ZCBE5IZ/loEGxnLgQNZ+93mOCPmLt6ut3CXEaqn+DHkukINL3kYRuaF0byM1y0DdFZQjJksHAr1OQuaIvl49x11CrJbqz1BwYCBE5IY/loHGRBkUPzdUMEfI/8aNSsZ9twzzeLWVJwmx/rjxoNDGQIjIDX8sAw30HbYDAVeN+Zc9qPFkM2FvlpjfOCoZYXpt1J+h4MDxdyIPdPcyUG654Z5zQUXuPt99XK3yEZkQGxcTgZuu648t35z2uE2s6ExqMBAi8kB3LwP1x5YbkeF6XJXcA8MHJCDz6r4Bt49TRzo/7jUWppe8XuKtFcm9jFh8z09gtspeBzWiEmIfmDES31c3eFRUkRWdSS1JltXurkKimM1W1NWZ/N2MgNOnTywAoLr6kp9b0sbT4mxqebK/mQhdBXD293r0xAWcOHcJZoutk7P4pl0/GZaIb0svuCwnsDT+PcToWgAAL9dPwxlr7yseo/R1x41KxvSxA7DraKXLv+eocH2XQbE7OgmIMYbjopfVxwEgKkKP/8oZjX9+dRKnz12CxSojTC9hQFIs7pgwGDsPl3vVLp1OQlS4HgOSYjH7pnSk9onxuk2i9ekTixazFf+7/kBA15/RkkDrR0WKjzfC4MXejh0xEAogDIRcC+YPsDutZqvbUaixP0qCBODrI+e6/MKwf7GfOHcJTS0WhEnwOoA7W92A9duOt/sC7tszChIknKsxef2lHGs0IKmnEYYwHSxWGVarzWVgWXimFm/++xguXGyBvcv6Y/x6REltgcSL9T/DWWsvl68hOf7XthovMT4Kep2EML0Evb7r13XHHih2dk27CpqVBFP20RpjZNfJ9B1fV8R77U7On/nuuvEIdsHcjzIQCiIMhFwL5g+wpzz5MvD0C6O7r6evvsguvfkQYG4GANim/V/kndH77ctSzTXteH0AGRdNZjQ2WWC1XQ4sA2W0pjvwMy9eMF9TBkJBhIGQa8H8AfaHYLmel954ELC0jQgZc56Fvmeq39oSLNc0UPB6ihfM11RtIMTl80SkTbJTvpLEroyIlGHvQUTa5JRXIzEQIiKF2HsQkTY5jwjp2JURkTLsPYhIc2TZhnYb03JEiIgUYu9BRNojd6hnxECIiBRi70FE2mPrEAhxaoyIFGLvQUTa07HqB0eEiEgh9h5EpD0dpsa4aoyIlGLvQUTac0WOEHefJyJlGAgRkebIHQMhHTfdJCJlGAgRkfZ0TJbm1BgRKcTeg4i0h8vniUgQ9h5EpD0MhIhIEPYeRKQ9V0yNMVmaiJRhIERE2tNu53kJEgMhIlKIgRARaU+7QIjdGBEpxx6EiDSn3fJ5iUvniUi5MH83QISTJ09i5cqV2L9/Py5cuICkpCTceuutmDdvHoxGo1fnOnToEF577TUcOHAAjY2N6NWrF7KysvDwww+jf//+PnoHROQV5xwh7jNGRCpovgcpKCjAzJkzsWnTJvTu3RsTJ06EyWTCqlWrMHv2bDQ0NHh8rk8++QRz5szB9u3b0a9fP0ycOBHh4eH44IMPMGPGDBQUFPjwnRCRxzrkCBERKaXpQMhisWDBggUwmUxYunQpNmzYgOXLl+Pzzz/H5MmTUVRUhGXLlnl0rqamJjz11FOw2Wx4+eWX8cEHH2DFihX49NNPcd9996GxsRGLFy/28TsiIo8wR4iIBNF0D7J582aUlZVh7NixyMnJcfw+MjISzz33HIxGI95//33U19e7PdehQ4dw8eJFpKenY/r06Y7f6/V6zJ8/H3q9HsXFxaipqfHJeyEiLzgFQtxwlYjU0HQPsn37dgDA1KlTrziWkJCAzMxMmM1m5OXluT2XXt+WcFlTU4PW1tZ2x2pra2G1WmEwGBATEyOg5USkio0jQkQkhqZ7kOLiYgBARkaGy+NDhgwBABQWFro918iRI9GzZ0+cP38ev/vd73DixAk0Nzfj8OHDeOSRRwAA9913H8LDwwW1noiUardqjMnSRKSCpleNVVVVAQD69u3r8nhiYmK7x3UlKioKK1aswPz587F161Zs3brVcSwyMhK5ubmYNWuWgFYTkWrMESIiQTQdCJlMJgBtgYor9t/bH+fOVVddhdtuuw1vvPEGhg0bhqSkJBQXF6OsrAyrV6/GiBEjMHLkSDGNd8Fg0KNPn1ifnV/reG3E0vL1NDVEoOmHn/VhYQHzXgKlHcGC11M8XtMraToQ0uv1sNlsbsvry7Ls9lwVFRW4++67UVtbi7///e8YO3as47lvvfUW/vjHP+KXv/wlNm3ahOTkZCHtJyKFnHKEJE6NEZEKmg6EoqOjUVdXh6amJpfHm5ubAbRNe7nzyiuv4OzZs1i0aJEjCAIASZJw33334ciRI9i0aRNWr16NRYsWiXkDHZjNVtTVeTZ6FUrsdzDV1Zf83JLgEAzX01LX6PjZavP/ewmGaxpIeD3FC+ZrGh9vhMGgvMK8pm+l7DlA1dXVLo/bc4Psj+vK119/DQAYP368y+MTJ04EABw5csTbZhKRaMwRIiJBNN2D2FeLlZSUuDxu/31nq8qc2WsNhYW5HiSzL6+3WCxet5OIxJIZCBGRIJruQSZMmAAA2LJlyxXHamtrsXv3bhgMBmRnZ7s91+DBgwFcrk3UUX5+PgBg+PDhSptLRKJwrzEiEkTTPcjUqVORkpKC/Px8rF271vH75uZmLF68GCaTCTk5Oejdu7fjmNlsRmlpKUpLS2E2mx2//8UvfgEAWLFiBfbu3dvudf7xj39g48aNMBgMuPvuu338rojILY4IEZEgmk6WjoyMxPPPP48HH3wQubm52LhxI1JTU3Hw4EFUVVVhxIgRWLhwYbvnVFZWYtq0aQCAbdu2ITU1FQBw55134ttvv8V7772Hu+++GyNHjkRSUhJKSkpw8uRJGAwGLF261FGkkYj8iIEQEQmi6UAIADIzM7FhwwasWLECe/bsQUlJCVJTU5GTk4Nf/epXXm2JkZubixtvvBHvvvsujhw5gmPHjiEhIQHTp0/H/fffz2kxokBh415jRCSG5gMhABg6dCiWL1/u0WNTU1NRVFTU6fEpU6ZgypQpoppGRL7ALTaISBD2IESkOVw1RkSisAchIu1xrhbPQIiIVGAPQkTaw6kxIhKEPQgRaY/NevlnjggRkQrsQYhIe2SuGiMiMdiDEJH2MFmaiARhDzpck7AAACAASURBVEJEmiPbnJOlJf81hIg0j4EQEWkPR4SISBD2IESkPVw1RkSCsAchIu1pNyKk9187iEjzGAgRkfZw+TwRCcIehIi0x6mytKRjsjQRKcdAiIi0h8nSRCQIexAi0hxuukpEorAHISLtsTEQIiIx2IMQkfa0Wz7PVWNEpBwDISLSnnZTY0yWJiLlGAgRkfbYuOkqEYnBHoSItIfJ0kQkCHsQItIcmVtsEJEg7EGISHs4IkREgrAHISLtYSBERIKwByEi7bFxaoyIxGAPQkTaI3PVGBGJwR6EiLSHU2NEJAh7ECLSHJlbbBCRIOxBiEh7OCJERIKwByEi7WEdISIShD0IEWmPLF/+mSNCRKQCexAi0h6b1fEjV40RkRrsQYhIezg1RkSCsAchIs2RmSxNRIKwByEi7WEgRESCsAchIu1hsjQRCcIehIi0p11BRcl/7SAizWMgRETa0y5ZWu+/dhCR5jEQIiLtkbl8nojEYA9CRNrDvcaISBD2IESkObJzsjTrCBGRCuxBiEh7uHyeiARhD0JE2iNz1RgRicFAiIi0hyNCRCQIexAi0h6nZGmJy+eJSAUGQkSkPRwRIiJB2IMQkeZw01UiEoU9CBFpD7fYICJBGAgRkfa022KD3RgRKccehIi0h1NjRCQIexAi0h6nQEiSuGqMiJRjIERE2mPj1BgRicEehIg0pW2fMae9xpgsTUQqMBAiIm1xzg8CmCNERKqE+bsBIpw8eRIrV67E/v37ceHCBSQlJeHWW2/FvHnzYDQavTqXyWTCG2+8gS1btuDMmTPQ6XQYPnw47r33Xtxyyy0+egdE5DEGQkQkkOZ7kIKCAsycORObNm1C7969MXHiRJhMJqxatQqzZ89GQ0ODx+c6f/487rzzTvzv//4vampqMG7cOGRkZODAgQN47LHHsHr1at+9ESLyDAMhIhJI0z2IxWLBggULYDKZsHTpUmzYsAHLly/H559/jsmTJ6OoqAjLli3z+HyLFy9GSUkJfvrTn2L79u1YuXIl1q9fjzfeeAMGgwF/+tOfUF5e7sN3RERu2ToEQkyWJiIVNN2DbN68GWVlZRg7dixycnIcv4+MjMRzzz0Ho9GI999/H/X19W7PVVBQgB07dqB///548cUXERER4TiWlZWFmTNnIikpCUeOHPHJeyEiD3UYEZI4IkREKmi6B9m+fTsAYOrUqVccS0hIQGZmJsxmM/Ly8tye65NPPgEA3HPPPe2CILvc3Fxs374dN998s8pWE5EaMqfGiEggTSdLFxcXAwAyMjJcHh8yZAi++OILFBYWYvr06V2eyz7SM2bMGJhMJmzZsgXffvstrFYrRo4cienTpyMyMlLsGyAi73FqjIgE0nQgVFVVBQDo27evy+OJiYntHteVU6dOAQBqa2sxffp0fP/9945j69evx6uvvopVq1YhPT1dZauJSBWOCBGRQJoOhEwmEwB0OlJj/739cV2xry5buHAhUlJSsGbNGgwfPhxnz57FSy+9hLy8PDzwwAP4+OOPERMTI+gdtGcw6NGnT6xPzh0MeG3E0ur1tES0oNHpz30S4yDpAmObDa1e00DF6yker+mVNH0rpde3dX6Sm8qybZVou9bS0gIACA8Px9tvv43rrrsOMTExGDZsGFatWoWhQ4eioqIC69evV99wIlJM7jg1xhEhIlJB0yNC0dHRqKurQ1NTk8vjzc3NAICoqCi354qMjERjYyNmzJiBuLi4dsfCwsIwe/Zs5ObmYteuXbj//vvVN94Fs9mKujr3o1ehxn4HU119yc8tCQ5av562i07tliScP+95rTBf0fo1DTS8nuIF8zWNjzfCYFA+KqzpWyl7DlB1dbXL4/bcIPvjutK7d28AQGpqqsvj9t/X1tZ63U4iEsh5RIijQUSkkqZ7EftqsZKSEpfH7b/vbFWZq3NVVla6PG4Ptnr27Ol1O4lIHFm2Xv4DAyEiUknTvciECRMAAFu2bLniWG1tLXbv3g2DwYDs7Gy355o4cSKAtnpCZrP5iuM7d+4EAFx//fUqWkxEqskcESIicTTdi0ydOhUpKSnIz8/H2rVrHb9vbm7G4sWLYTKZkJOT45j2AgCz2YzS0lKUlpa2C3imTZuG1NRUnDp1Crm5ue2ObdiwAVu2bEFcXBzuuOOO7nlzROQap8aISCBJ9mRJVQDbvXs3HnzwQTQ3N+Pqq69GamoqDh48iKqqKowYMQLvvPNOu+XuZ8+exU033QQA2LZtW7ucoCNHjuD+++9HbW0tEhMTMXr0aJw+fRrFxcWIiIjAn//8Z0yePNln74XJ0q4Fc5KfP2j9elqrT8H04dNtf4iIRuzclX5tD6D9axpoeD3FC+ZrqjZZWvGqMVGbj6akpKh6fmZmJjZs2IAVK1Zgz549KCkpQWpqKnJycvCrX/3Kq5o/P/rRj7Bp0ya89tpr+OKLL7Bjxw7Ex8fjZz/7GR588EEMGzZMVVuJSACnqTHuM0ZEaikeERo+fLj6F5ckfPfdd6rPEyw4IuRaMN/J+IPWr6e1sgSmfz4LAJCi4hBzz1/83CLtX9NAw+spXjBfU7+NCGl8Ro2INEq2Oa0a4z5jRKSS4kBo27ZtXj3eZrNh9erVWLduHYC2QGrGjBlKX56IQhVXjRGRQIoDoX79+nn82NOnT+OJJ57AoUOHIMsy+vTpg2eeecaxZJ2IyGPOo9EMhIhIJZ9vsbF69Wr85S9/QXNzM2RZxn/+539i8eLF6NGjh69fmoiCEUeEiEggnwVCZ86cwaJFi3DgwAHHKFBubi4mTZrkq5ckolBgc1411vWGy0RE7vgkEHr77bfxyiuvOEaBbrvtNjz55JMcBSIi9ZxHhJgsTUQqCQ2EysrK8Pvf/x779u3jKBAR+YTcbmpM+ZJZIiJAYCC0Zs0avPzyyxwFIiLfsnHTVSISR3UgdPbsWSxatMgxCtS7d2/k5ub6dCsKIgphzqvGODVGRCqpCoTWrl2Ll19+GU1NTY5RoMWLFyMuLk5U+4iI2ms3NcZkaSJSR3EgNHfuXOzZsweyLEOn0+Huu+/G5MmTvd4yY+zYsUqbQEShiMvniUggxYHQ7t27IUkSJEmCLMtYs2YN1qxZ49U5uNcYEXmNm64SkUCqpsbU7jfG/cqIyGs25+XzXDVGROooDoQKCwtFtoOIyCMyp8aISCD2IkSkLUyWJiKBGAgRkbbYOCJEROIIK6jY2NiIf/3rX/jyyy9RVFSEmpoayLKMnj17YujQoZg4cSJuu+02xMTEiHpJIgpFnBojIoGEBEKffPIJnn76aVy8eBFA+yToc+fOobKyEnl5efjzn/+MJUuW4Gc/+5mIlyWiUOS8aowFFYlIJdWB0PPPP4+33nrLEfykp6dj+PDh6NWrF8LCwlBbW4vvvvsORUVFuHjxIhYuXIiDBw/iySefVN14IgpBHBEiIoFUBUIbN27E6tWrAQA333wzFixYgIEDB7p87Pfff4+VK1figw8+wNq1azFixAjMnDlTzcsTUQjiqjEiEklxL1JTU4Nnn30WkiRh0aJFWL58eadBEAD069cPzz33HP7whz9AlmU888wzqKmpUfryRBSq2tURYiBEROoo7kU2bNiApqYmTJ8+HXPnzvX4ebNmzcIdd9yB5uZmfPDBB0pfnohCFUeEiEggxb3Izp07IUkSHnroIa+f+9BDD0GWZXz55ZdKX56IQhUDISISSHEvUlJSgl69emHw4MFePzctLQ39+vXD8ePHlb48EYUqG/caIyJxFPcijY2NSE5OVvzCvXr1QkNDg+LnE1GI4ogQEQmkuBfp0aOHo26QEhcvXkRUVJTi5xNRaGq3aozJ0kSkkuJeJDU1FWVlZaiurvb6uefPn8fp06e7XGVGROSSU8FWjggRkVqKe5GxY8fCZrPh7bff9vq5b731FgAgKytL6csTUaiyWS//zECIiFRS3Ivk5OQgLCwMb775Jvbs2ePx8/Lz8/Hmm29Cr9fjrrvuUvryRBSqODVGRAIp7kXS0tJw7733wmKx4IEHHsDatWvR2tra6eNbW1vxt7/9DQ8//DCsViseffRR9OvXT+nLE1GokrlqjIjEUbXFxsKFC3H8+HHk5eXh2WefxYoVK3D99ddj2LBhiI+Ph8FgQH19PQoLC5Gfn4+6ujrIsoxbbrlFUf0hIiKuGiMikVQFQjqdDqtWrcJLL72Ed955B7W1tdi6dSu2bt16xWNlWYbBYMBvfvMbPPDAA2pelohCmGxzTpaW/NcQIgoKqnef1+v1ePzxx/GLX/wC69atw65du1BcXAyrtS2hUZIkDBgwAJMmTcLPf/5z9O/fX3WjiSiEtcsR0vuvHUQUFBQHQiUlJRgyZIjjz6mpqfif//kfAG2jP/X19WhpaUF8fDwiIiLUt5SICABkrhojInEUB0L/8R//gcTERGRlZSE7OxtZWVno2bMngLZRoPj4eGGNJCJysDFHiIjEURwIybKMyspKfPTRR/joo48gSRIyMjKQnZ2N7OxsXHvttTAYDCLbSkTEZGkiEkpxIPTRRx9h79692Lt3L/bv348LFy7g2LFjKCwsxN///ndERkbi2muvdQRG6enpIttNRKHKqbK0pGOyNBGpozgQGjZsGIYNG4Z77rkHAFBaWop9+/Y5AqOKigrk5eUhPz8fANCnTx/HFFp2drZjGo2IyCscESIigVSvGrMbPHgwBg8ejFmzZgEAysrKHIHR3r17UVZWhg8//LDdNNq4cePwu9/9TlQTiCgEyAyEiEggYYFQR2lpaUhLS8Ptt98OAKiursb+/fuRl5eHf//7345pNAZCROQVLp8nIoF8FgjZFRYW4ptvvsH+/ftx7NgxfP/995B/mONnMjUReY2rxohIIOGBUGVlJfLy8pCXl4dvvvkGFy9eBABH8DN48GBHAnVmZqbolyeiYNduaozJ0kSkjupAyGw2Y9++fY7gp6SkBMDlwCc+Ph5jx45FdnY2xo8fj759+6p9SSIKZdx0lYgEUhwIrVu3Djt37sSePXvQ1NTkCHzCwsIwZswYx6jPyJEjIfGujYhE4dQYEQmkOBDKzc2FJEmQZRn9+/fH+PHjkZWVhRtuuAHR0dEi20hE5NBu1ZiOgRARqaN6aiw9PR233XYbsrKycPXVV4toExFR59rlCHHVGBGpo/h2Kjs7GxERETh+/DiWLVuGnJwcZGVlYeHChfjoo49w/vx5ke0kImpjY7I0EYmjeETo73//O1pbW7F7925HBekTJ07g448/xubNmwHAUTSRe48RkTCcGiMigVRNjYWHh2P8+PEYP348AKCiogI7d+50LJ0vLCxst/fY9ddfj3HjxmHcuHG46qqrhLwBIgoxXDVGRAIJrSOUnJyMWbNmYdasWbBarTh48KBjWf2xY8fw5Zdf4ssvv4QkSUhOTsa4ceOQm5srsglEFOy4xQYRCeSzXkSv1+Paa6/F/Pnz8cEHH2DXrl1YsWIF5syZA6PRiPLycmzYsMFXL09EQYp7jRGRSD7fYuP06dM4cOAADh8+jIKCAhQXF8NisQAA6wsRkfdYR4iIBBIaCJnNZhw9ehQHDhxw/FdbWwvgcqXptLQ0jB071vGfCCdPnsTKlSuxf/9+XLhwAUlJSbj11lsxb948GI1GVed+4YUX8MYbb+DRRx/Fb37zGyHtJSIVmCxNRAKpCoTq6upw8OBBR9Bz5MgRtLa2Argc+PTq1Qs33HADbrjhBmRlZaFfv37qW+2koKAAc+fOhclkwqhRozBy5EgcOHAAq1atwhdffIF169YhJiZG0bm/+uorvPnmm0LbS0QqcWqMiARSHAhNmzYNJ0+edPzZHvgYjUZce+21jirTw4YNU9/KTlgsFixYsAAmkwlLly5FTk4OAKC5uRnz58/H9u3bsWzZMjz11FNen7umpgaPP/64430RUYCwcdUYEYmjOBA6ceJE2wnCwjBq1ChH4DNmzBiEhfk89QgAsHnzZpSVlWHs2LGOIAgAIiMj8dxzz2Hy5Ml4//338dhjjyEuLs6rc//+979HbW0trrnmGhw4cEB004lIKU6NEZFAiiOWuXPnIisrC9ddd53qPByltm/fDgCYOnXqFccSEhKQmZmJL774Anl5eZg+fbrH5127di2++OILPPbYY6itrWUgRBRAuGqMiERS3IssWrQIEyZM8FsQBADFxcUA2ipYuzJkyBAAQGFhocfnPH78OF544QVcc801mDdvnvpGEpFYDISISCBN9yJVVVUAgL59+7o8npiY2O5x7rS0tGDBggUwGAx48cUXoddzQ0eigOOct8dAiIhU6p5kHh8xmUwA2nKCXLH/3v44d/70pz+huLgYL7zwAlJTU8U00gsGgx59+sR2++tqBa+NWFq9ng2yDfZQqGevWIQH0PvQ6jUNVLye4vGaXknTt1P2ERt3hRk9Wfm1Y8cOrFmzBtOmTcOMGTOEtI+IxJNtTJYmInE0PSIUHR2Nuro6NDU1uTze3NwMAIiKiuryPOfPn8eiRYuQnJyMP/zhD8Lb6Smz2Yq6Os9Gr0KJ/Q6muvqSn1sSHDR/PWWr48fa2ibobP5/H5q/pgGG11O8YL6m8fFGGAzKU1k0HQglJiairq4O1dXVSEtLu+K4PTfInivUmb/+9a+oqanB8OHDr9gE9ujRowCArVu34vTp0xg8eDAefvhhQe+AiLwhyzJzhIhIKE0HQhkZGSguLkZJSQmuueaaK46XlJQ4HtcVew7RsWPHcOzYMZePKS4uRnFxMa6//noGQkT+0nGam1NjRKSSpnuRCRMmAAC2bNlyxbHa2lrs3r0bBoMB2dnZXZ7n+eefR1FRkcv/7r33XgDAo48+iqKiIrzzzjvi3wgRecZ56TzAESEiUk3TvcjUqVORkpKC/Px8rF271vH75uZmLF68GCaTCTk5Oejdu7fjmNlsRmlpKUpLS2E2m/3RbCJSioEQEQmm6amxyMhIPP/883jwwQeRm5uLjRs3IjU1FQcPHkRVVRVGjBiBhQsXtntOZWUlpk2bBgDYtm2bX5bJE5FCNmv7P3NqjIhU0nwvkpmZiQ0bNuCnP/0pysvLsWPHDsTGxuLXv/413nnnHcU7zxNRAOowIsRNV4lILUnm9uoBg8vnXQvmZZ/+oOXrKTc3oOHtRx1/jrnvVUjhXZfH6A5avqaBiNdTvGC+pmqXz/N2iog0Q2aOEBEJxl6EiLTjikCo66ryRETuMBAiIu2wdQiEmCxNRCqxFyEi7eDUGBEJxl6EiLSjXSAkcdUYEanGXoSItMN5aoxBEBEJwJ6EiDSj3aoxHROliUg9BkJEpB0yR4SISCz2JESkHQyEiEgw9iREpB3tpsaUV5IlIrJjIERE2uGULM0VY0QkAnsSItKOdlNjTJYmIvUYCBGRZsjMESIiwdiTEJF2sI4QEQnGnoSItKNdsjS7LyJSjz0JEWkHp8aISDD2JESkHTJXjRGRWOxJiEg7bJwaIyKx2JMQkWZw1RgRicaehIi0g4EQEQnGnoSItIOBEBEJxp6EiLSDdYSISDD2JESkHawjRESCsSchIu2QZcePXD5PRCKwJyEi7bBZL//MQIiIBGBPQkSaIXNqjIgEY09CRNrBVWNEJBh7EiLSDgZCRCQYexIi0g6nZGlIkv/aQURBg4EQEWmHUx0hSaf3Y0OIKFgwECIi7ZC5aoyIxGJPQkSawU1XiUg09iREpB3cYoOIBGNPQkTawWRpIhKMgRARaQcLKhKRYOxJiEg7nAIh7jVGRCKwJyEi7WiXLM3l80SkHgMhItIM2XnTVU6NEZEA7EmISDuYLE1EgjEQIiLtYB0hIhKMPQkRaQfrCBGRYOxJiEg7OCJERIKxJyEi7XBePs9kaSISgD0JEWkHR4SISDD2JESkGTJzhIhIMPYkRKQd3GKDiARjT0JE2sGpMSISjD0JEWkHAyEiEow9CRFph42brhKRWOxJiEg7mCNERIKxJyEizZA5NUZEgoX5uwEinDx5EitXrsT+/ftx4cIFJCUl4dZbb8W8efNgNBq9OteOHTuwZs0aHDlyBJcuXUJ8fDyuueYa3H///Rg9erSP3gEReYSBEBEJpvmepKCgADNnzsSmTZvQu3dvTJw4ESaTCatWrcLs2bPR0NDg8bmWLVuGefPmIT8/H/369cPEiRPRo0cPbN26FT//+c/x4Ycf+vCdEJFbrCNERIJpekTIYrFgwYIFMJlMWLp0KXJycgAAzc3NmD9/PrZv345ly5bhqaeecnuuffv24bXXXkNUVBRee+01ZGZmOo6tX78eS5YswVNPPYXMzEykpKT47D0RUReYI0REgmm6J9m8eTPKysowduxYRxAEAJGRkXjuuedgNBrx/vvvo76+3u25/vGPfwAA7r///nZBEADMnj0bEyZMQGtrK7Zs2SL2TRCR52SuGiMisTTdk2zfvh0AMHXq1CuOJSQkIDMzE2azGXl5eW7PFRkZiaFDh+KGG25weXzQoEEAgMrKShUtJiJVZPnyzwyEiEgATfckxcXFAICMjAyXx4cMGQIAKCwsdHuup59+Gps2bcK1117r8vjhw4cBAElJSUqaSkQCyJwaIyLBNN2TVFVVAQD69u3r8nhiYmK7xym1fft2HDhwAAaDweXoExF1E5v18s8cESIiATSdLG0ymQC0TWu5Yv+9/XFKFBUVYdGiRQDa8of69eun+FzuGAx69OkT67Pzax2vjVhavJ4tegmtP/zcIy4aMQH2HrR4TQMZr6d4vKZX0vQtlV6vBwBIktTl42TnvAIvFBQUYO7cuairq8OkSZPw29/+VtF5iEgQbrFBRIJpekQoOjoadXV1aGpqcnm8ubkZABAVFeX1uT/99FM88cQTaGpqwpQpU/DKK69A5+OcBLPZiro65aNXwcp+B1NdfcnPLQkOWr6eFrPF8fPFSy0wBch70PI1DUS8nuIF8zWNjzfCYNArfr6mb6nsOUDV1dUuj9tzg+yP89TKlSvxX//1X2hqasKcOXOwfPlyhIeHq2ssEanXLlm665FgIiJPaDoQsq8WKykpcXnc/vvOVpV1ZLPZ8MQTT2D58uXQ6XRYvHgxlixZ4piCIyL/ar/XGD+XRKSepgOhCRMmAIDLIoe1tbXYvXs3DAYDsrOzPTrfk08+iQ8//BBGoxGvvvoq7r33XqHtJSKVuGqMiATTdE8ydepUpKSkID8/H2vXrnX8vrm5GYsXL4bJZEJOTg569+7tOGY2m1FaWorS0lKYzWbH7z/66CNs3LgRYWFh+Otf/+oIsogogLCOEBEJpulk6cjISDz//PN48MEHkZubi40bNyI1NRUHDx5EVVUVRowYgYULF7Z7TmVlJaZNmwYA2LZtG1JTU2G1WvHnP/8ZANCrVy9s3LgRGzdudPma48aNw4wZM3z7xojINVaWJiLBNB0IAUBmZiY2bNiAFStWYM+ePSgpKUFqaipycnLwq1/9CjExMW7PUVRUhIqKCgBtgdKmTZs6fWyPHj0YCBH5i8zd54lILM0HQgAwdOhQLF++3KPHpqamoqioqN3vRowYccXviCgAtdt0lavGiEg93lIRkXbYOCJERGKxJyEizWi/6SqXzxORegyEiEg7mCNERIKxJyEi7eDUGBEJxp6EiLSDW2wQkWAMhIhIO2TuPk9EYrEnISLtYI4QEQnGnoSINKHdijGAgRARCcGehIi0oWMgxOXzRCQAAyEi0gZbxxEhJksTkXoMhIhIGzg1RkQ+wJ6EiLShQyDEVWNEJAJ7EiLSho5TYzp2X0SkHnsSItIErhojIl9gT0JE2sBAiIh8gD0JEWkDp8aIyAfYkxCRNnBEiIh8gD0JEWkDV40RkQ+wJyEibeA+Y0TkA2H+bgARBa76xlbsPFyO4jO1aG61IkwvQa/XwWKVYbXaEBmuR0b/BIwfnYK46HCftmPfgTJc/8OfrbKEj78+1eXrdmx7x7a6O+7JOe3XQ6fTwWy1IUyC6uvhSbsC5e+FKBhIsizL/m4EtTGbrairM/m7GQGnT59YAEB19SWvn6vky06rPP1ynDE5HQmxkS6vp/0chadqcPZ8Iy6ZzB6/fphegl4nIUyvw4CkWMy+KR2pfWKueNzZ6gas33Ycp89dgsUqQ68DoqMM6GFs+/tw/juKCtdj3efH8dW3Fegj1WJR3L8AAK2yHv9d+wvodRLGjUrG9LED8PXRShSfqYWpxYK6Sy2oa2xFZ72bQS/BbHV90H7OOVPSYQhr28+s1Wx1tMNqc99lumqX/d/fgKRYABJOn7vY7u+p1WxDZa2p02uuk4CskckAgF1HznnVDuf3ogVqPvPkWjBf0/h4IwwG5f++GQgFEC0HQr4MOJR8gN19cYn8gvD33bn9veZ/WwGbB1+OEoAeMeFI6RWN4QOuDDg8+YL1liFMhz7xEaiube40AHElTC/B8sPjU/S1eDxuEwCgWTbg8dqfC2+nM2NEGKZel4qskcl44+NjKCqr8+nr+VJGWjzm3zUa4Sq+LDwhqh8I5i9tfwnma8pAKIhoMRDqjoDD2w9wq9mKV94/7NEX1+CUHrj6qp4o/b6+04674whGmF7CgKRY3DFhML48VO5x8KCTgPGjUzBnSjoqa5tcnrOzUZSu3utL6w+i5PuLHj/HVbtijW1TRYEsVX8B/x23GQBgsoVjUd3sbnldCUAwdJITxqRg7i3DfHJu0f1AMH9p+0swX1MGQkFEa4GQNwGHmjtSbz/Aqz8pxM7D5V6/jjO9TsL1I/riRHk9KmuaVJ2rI0OYBLOl849dci8jfjNzJPYWVbsdZTpTdQn7CquFti9Q9defx+/i/g0AaLBFYHHdLD+3SFv0OgkvPZItfFTSF/1AMH9p+4v9mpacuhB06QIMhIKI1gIhbwOOgcmxeCxntNcfts46RVfD8AOSYrFlT5lPpnfIvwboq7Eg7hMAwCVbJJ6su8vPLdKemTcOwvSsgULP6W0/KO9AnAAAIABJREFU4MnIFAMh8XrEG/H6R9/i8z1nfJ4u0N3UBkJcNUaK1De04KtvK7x6zqmKS1i48ivVH7auhuGPnqpVdE4KfDrp8t+1DZIfW6JdRWdqhQZCSvqB/IIKzBg/SLOjD1rUarbi6dd34UjphU4fY7XJ+PJQOc5dMHVLPlkgYTEOUmRngbKkWvuHbdl7h9Fqtnr13PrGVnyUdwILVnyFnYfLOeoTYnROmTo2mYGQEs2t3n3m3FHSD1htMvJUTl2Td9Z9frzLIMhZUVkd3t123MctCiwcESJFis+oG3mxf9g8Sd5sMVu7HNKl0CA5B0K8h1MkMlz5Xb6rqejqumZF5xI9MkWd46idewyESBERd5aefNg8GdKl0KDD5crSnBpTJqN/gtfP8baGkidEj0xR59SM2oVKsMrbKlJEzZ2lnSdD5N4M6VJwY46QemPSe3v1ePuKMNFT0SL6D/KM0tH7IpWj/lrCQIgUGargztKVrj5sSoZ0KXg55wjJDIQUOXT8vFePX/f5cZ8UklQyMkXKKB19C6VROwZCpMiNo5Kh16n/Murqw6Y0IZuCE5Ol1fPmLt9XNyJ6nYTxo1OEn5dcUzr6FkqjdgyESJG4mAhk/7DvkRpdfdjUJmRTcGkXCHFESBFv7vJ9dSMyblRyyCThBgKlo/ehNGrHZGlSbM6UdFTWmFQNnXf1YQuloVlyT+LUmGre3OX74kYkIy0ec6akCz+vs1DaaNkTN45Kxr/yT3oV1IbaqB0DIVIs3KDH/LtG491tx5F3uBze3jy6+7CF0tAsuaeTLq8as3IwW5Gubjw6BhDlFxqFvW53VC12V2j1n/knNVs5WQ376L031b9DbdSOgRCpEm7QY+4twzBj/CD8ZcNhnDrneUl8dx+2of0TWCmaHNolSzNHyGuS5HrVmC+WxzvrGRuB/3vfdT79YvVkv7NQrpw8Z0o6ahpaPFqB2x2jdoGGt1UkRFx0OJ74xTXISIv36PGefNhEJWRTcGCOkDqyDPzhzb1469NCmC1t086+Wh7vLLmX0eejC96sbgvFysnhBj2efmAsfnrDgE77VL1OwoQxKVgwa3RIjZgBHBEigZynyvI7SbT0ZohcyZAuBS8GQup1HBXx1fJ4Z75OumXlZM9EGPR49M4xuOW6NOQdLkcRc6gcGAiRUM5TZSI+bN4M6VJwkyQmS4tSVFaHtz4txJ5jVT59ne5IumXlZO/ERYdjetbAkHzvnWEgRD4h6sMWbtBj0X3X4/H/zcPZqgYxjSNN4oiQWN98VwnZx2W6uiPpVk3lZAYDBDAQogDXarZi2eo9DIKo/V5jTJZWzddBUHcl3bJyMqnFQIgCGvcaIzvuPh8YIsN1CA/T46LJ7PJ4dyyVb98eVk4mdRgIUcDiXmPkTM+psYAwoG8sHv/FT1Df2BoQSbdKy2yEUuVk6hoDIRLCF9VcudcYOWOydGDQ69tG4wIl6ZaVk0ktBkKkii+ruSpNgkyMj0Sf+Cg0t1qh10k4/n29z/MhyPe46WpgsFgD68PEysmkFgMhUszX1VyVJjPGGsPxu9k/dvx59SeFrEUUBLhqLDBYrTb3D+pm3ux7GIqVk6lrDIRIMSXVXOfeMszj8ytNZqy40Ijf/HknLFYZYXoJaYkxGJgU69X2HxR4uOmqWAmxEai91OL18wIxyVh0MVcKLQyESJHuqOaqNAnS1HJ5JKnFDBSe8W3lXOoe3HRVnIy0eAwbEI9/5p/y/rkBmmQsupgrhQ4GQuS1+sZWvP7xdz6v5qokCZKCl44jQkJMGJOCOVPSYWq24OOvTwddknGgJHGTdjAQIo+J2KXam2qu3GuMnDFZWr2MtDjH9HRcjN7vScadrTadMTkdCbGRwl5HaTs4ihQaGAiRRzxJjPaEtwnQ3GuM7Jgsrd7VV/Vq92d/JRm7W236r69O4qbr+mPmuIE+zefx5apX0g5OtJNHRO1S7W2iZbhBj6cfGIuf3jAAEr/7QhoDIfXGpPdu92d7kvGEMSnQ61xfU71OwoQxKVgwa7SQYMB+U7XzcHmnI8sWq4wt35zGsvcOo9Xsm60wPGmHfdWrL9tB/hcUgdDJkyexcOFCTJo0CaNGjcLNN9+MV155BSaTyetzVVZWYsmSJZg6dSpGjhyJSZMm4ZlnnkFNTY0PWq4NIis8K0m0jDDo8eidY5CeGi+kDaRNLKio3qHj56/4nT3JeMkvr8OIgQmIjgxDhEGP6MgwjBiYgCW/vA5zbxkmbEREyWpTXwiUdpD/aT4QKigowMyZM7Fp0yb07t0bEydOhMlkwqpVqzB79mw0NHi+WWdZWRnuuOMOrF+/HpGRkZg0aRL0ej3WrFmD22+/HefOnfPhOwlcoio8q020DMT6JdR92m26ykBIkSIXRUpbzVas/qQQf3hzL747VYvGZgtazFY0Nlvw3ala/OHNvXjr00KYLe5HROobW7Hp61N4ef1BLH17H15efxAff30K9Y2tbccVrja1P1+UQGkHBQZN5whZLBYsWLAAJpMJS5cuRU5ODgCgubkZ8+fPx/bt27Fs2TI89dRTHp3viSeeQHV1NR555BH89re/BQBYrVbk5uZi/fr1WLJkCV577TWfvZ9ApbTCc0dqEy0DsX4JdZ/2ydKav4fzi445eqKKonqaaxMfE+7z1aaeUHJz54t2UGDQdG+yefNmlJWVYezYsY4gCAAiIyPx3HPPwWg04v3330d9fb3bc+3btw/79u3DwIED8eijjzp+r9fr8eSTTyIlJQU7duxASUmJT95LIFNa4dmZiETLoQFav4S6B3OE1LPfTNhHbha9tkv19JA3uTaf7T2rqN2uRrLUUHpzJ7odFBg0HQht374dADB16tQrjiUkJCAzMxNmsxl5eXken+umm26CTtf+shgMBkyePBkAsG3bNrXN1hw1IzEiEy3HDO7l/kEUtHQSAyG1hvSLw+pPCrFw5Vf4cOcJ1DZ4N9XjanrIm1wbU4vFq9ezE3EzJuJ8ottBgUHTgVBxcTEAICMjw+XxIUOGAAAKCws9PtfQoUNVnyvYKB2JGTEwAS89ki0s0fIQl9CHNG6xod6RUzVdjty4Y58eshO5kKIroqfFlZ6P0/PBSdM5QlVVVQCAvn37ujyemJjY7nHddS5/shcGayndh16t5QjTS+jZIxJpiTGI8GLDU2cTrBbYjOWwebGFu06SMCm1HyKOHIf3uxm1d8HYllcUX1yG/4hqVnk20qr++ssrnlhQUZnS7y+qPodzUVRRCyncEb2th9LtewJ1exFSR9OBkH15fGSk6wqk9t97soze/pioqCjV51LKYNCjT59YRc9tMVvx+kffYtveMxggVeC3Pba2HbACON/2n9L1DhKAyUqKvH53RPFrOrOfYwwAuP7roRDDqTH/schw9FMnu2Ej4zC9JLzS9O2T0rHpq5OwWD0P4nzRDn9Q+h0TzDQ9NabXt41wSG4q7ckejGSIPFd3azFb8fTru7Dlm9OwWGXowWXmFNyqbT383YSQFRVx+f65SWHOjzduuq6/8OAjoUckbrquv9/bQYFB0yNC0dHRqKurQ1NTk8vjzc1t0yidjfJ0PBcAIedSymy2oq7O+xGn1Z8UttuCotiSgncaxuGqMNfTeCm9o5GR5n1xQqtNRsn39ai40AhX8aAkAcm9opGeGgddh4Cy1WJD+YVG1F9qgcUmI0wnIT42Asm9ohEe1nU8HhllAAAUnqrByXL1Q/ukbWetPXGodYC/m+EVSYLLz4wWDUqKRXV120hQmMKBOWNEmEeJ0xlp8Zg5bqDj9US6PXsgTn1f7/H2Ir5qR3exjwRp+T10Jj7eCIPC1A9A44FQYmIi6urqUF1djbS0tCuO2/N57Pk97s519OhRVFdXuzzuzbm6U2fJivtaB2Ff6yCXz9GflfDSf2YrqukzGsDAxlbkHS5HkQcbFHa5UWsloD8hud3Lx/4Brj95Hi//9WvuRk+aEyxBUMeiqEpzbaZem4q6xlbkd5JjFKaXfL7XmH17kXe3He+0HXqd+/6JtE/TgVBGRgaK/3979x7WxJnvAfybhAByE0S5qxQlKqgFtFLQFS1aT1tXXep9va4r7bH62Ke1uuulWq3WWus+WlyVdZWj3VWr66nai2K7XqqgwhZtsaJWKwpeQAXkTghz/uAkBZJAbpCY+X6ep0/pzDuTmV+TyS/vvPN7r13Dzz//jKioKK316po/+p4qa7qvEydO6K0TZMy+2pI1CoO1d3XEyNjgFre3VLE2zetyNnoiq2paFHVwX38cPvOLUdcgmVSCIVFBaO/qiDG/CdH5o0o9Fqe1ey/U04voOw7OPi8OT/UYobi4OADAsWPHtNYVFRXh/PnzkMvlGDhwoMH7On78OOrqGo+xUSqVmvpBQ4cONfewLcqWC4O1xlw+k4eFmnRbj4jMo6soqvrHiTEaJlPqH1VvT4zEkmn98fbESIyMDW7zsTj6joNJkDg81YnQ8OHDERAQgDNnzuAf//iHZnlVVRWWLFmCiooKjB07Fh07/jrjslKpxI0bN3Djxg0olUrN8qioKPTp0wc3btzAhg0bNIOiVSoVVq9ejXv37mHw4MHo1atX252gAWy1MFhrzeVjyGzZRGQ56qKofxzZC0cv3NGaR+yV2K4G/zixRIV5IkuTCLb4GJQRzp8/j8TERFRVVSE8PBxBQUHIyspCQUEBwsLCsHv3bri5uWna5+XlIT4+HkB9leigoCDNuuvXr2PKlCkoLi5GSEgIQkNDceXKFdy+fRuBgYHYs2eP3jpDlmDKYOmP92aZdI8+PNgLb0+MNHo7Qx1Ju4X/PX3T6O0SBodo3XLTN8ivpLwGxzNu46tzt00+TiLSLyzYC9Nf6okv03J1j/NDfaIU09sPEgBp2fctMtbGngf2Wos9x9TcwdJPdY8QAERHR2P//v0YMWIE7t69i5MnT8Ld3R1z5szRSoJaEhoaioMHDyIhIQGlpaU4ceIEAGDq1Kn47LPPWjUJMpWpVZ9buzBYW9yya+/qiLFDumOwGTPaE5FuMqkE01/qiR1fXGlxHrEzP9xDQVElPkh8HgmDQxAe7IVuAR4ID/ZCwuAQi1aYJ7K0p75HyJ6Y0iNUUlaNBUY+SSWTSrD+DdOeGjPU6l2ZuGHCo+7dAjywZFr/Rsta+iVTo1Th470XcT2/5cl1icgwcREBEAQY9XBCXEQApv9XT7Nf2557L6zFnmMq+h4hsTN3sGJrafO5fDhciMhienT2xCsxXVtlnB+RrXmqH5+nepOHheLB4wqDC4O1xWDFtpzL55/fXMf1PPYGEZmr4VieoxfutHlpjrainpPxGh+XJzARsgu2WBjM1PoiDYu1qS9Wv9wvRWV1LRwk0LpYtdXs10T2rqufO94c96zms2XOOL/WTITMSWKaK/B6+VYRDp6+CXcXOYI6uaFXVyZGYsFEyE7YWmEwU4ofqm/ZtXSxOnTmF01S11azXxPZu7yCskb/XVap1NOyeaZu1xJjrgu6fuwZUuAVAEorlLiSW4QruS3vk+wDEyE7Y2jV57Zgyi07Y6tRS1lLiMgimt7WMnVC1daYiNUSVeqNKfBq6D7JPnCwNLUaQ4ofqou1vTXhWcgdZEZXo84rLGu5IREZpHH5ClN/ZFj+x4m5VerNvYVuaOV7ejqxR4halTG37Ey5WJVWtE43PJEYNaw4387JtK+Hds6/bmeJQcmmVqkf85sQzWtY4hZ6032S/WAiRG3CkFt2HO9DZF0Ny1e4tTPt68HN2cHs8TwNWWJiaVMHfje3T7IfvDVGNsMSFysiMl3D8hWmVq3vHtgef/nsUovVqE9dvIsN+y6hRtn8vIeWqFJvqbkV22Kyamp7TITIZph6sZLLOGCayFxNy1cM7utv9MTGMqkED4orzRrP05QlJpY2uVCrhY6FbBsTIbIZpl6slCreTiMyV9OK86ZUrR/QywcZVwqM2qalatSWqFJvau+WpY6FbBsTIbIZlrpYEZFx9FWcnzwsFD06exq8Dx+vdiaP59HHEhNLm9K71dI+yX5wsDTZDFOqUROReeIiAvQOWja2av2mAz+YdAyXf3mEkbHBOqvJd/VzhwSAMVcFiQSNbvOZUuC1qaa3Dsl+MBEim2HKxcrdRc5H6IlMpOjcvsXZ4tUlMOL7BWHvt9eRe78UtSoBDjIJuvq5Y2J8KII6uQEwfQzN1TslWPK3cygoqtT5lJnRdGRNxhR41aUtJqsm6+CtMbIpxnbFqy/ARGQ8laquxTY1ShVSvs7Bezsz8NOtIpRX1aJaqUJ5VS1+ulWE93Zm4H+O5kBZqzJrDM29RxUW6w0WAK3bbYYUeNWnrSarJuuQrVixYoW1D4Lq1dUJqKoSd++GTCbFgF4+KK1UIq+gDIKO66JMKsHgZwOQOCoMxeU1yMnlI61EpigqrUFxWTXCg70gk2r/LlZPbfH9tUKdn0UAEAQg934prt8pQWhnT5N7XCxNKgFiezce7C2TSRHRvSPiIgLh6uwACAJqlCpUK3UnhA2vNU/7XGOurk4AgIoK/QPTn1bOznLIZKb360gEQd/bm9qaUqlCcXGFtQ/DZuQVlmHvt9dxp6AMyto6yKTaXfElZdVY8Nc0jisiMoMiqD3emhChNZdWytc5Rt2qjgn3xYUrBTbxeewW4IEl0/ob1LakvMYmJqtuTZ06uQMACgtLrXwklufp6QK5GfPAMRGyIUyE6jVXlRZoPDhT7iAz+mJNRNp+09cfM1/upflvU35kyKQSPNfLB+cuP2iNQzRKeLAX3p4Yae3DsBlMhPTjGCGyKequeGOq0o6NC0E7p6e725rI2s782Liej6lTW/h6tjN4nF9r4qPuZCgmQmRTTJll+sCpm6isZsVXInMIAnA8447mv02d2uLn/BLNoGRr4aPuZAwmQmQzTJll+rtLd43ehoh0y8z5tSq0OVNbqB+5V1ipZ4iPupMxmAiRzTClK75OgE0MzCSyB6WVv94as8TUFuHPdDD7mIzFR93JWEyEyGZw9nki22FLU1sYQiaVIC4iAG9NePapf9Sd2hYrS5PN4MzORNbl3k6u+duUKW+ajs2xxNQWuvh4OqOTZzu7fdSd2hYTIbIZnNmZSD+ZVIKY3n6QAEjLvt8qt4T79/TR/G1KEqNrbI65U1vofp0AjIwNttj+SNyYCJHNUHTxMm1eISI7JHeQoouPm84ej4S4bo0KAN5/XIHyqlqzXk8CYPhzXRotMyaJ0Tc2x5CJW43BJ8LI0lhQ0YaIvaAiq0QT/erl57tg7JDuBrU9knYL/3v6plmv17SgolqNUmXw7PMtjc3RVcG5vKoWt+4bXuQvLiKgxYliSRsLKurHRMiGiD0RAowv6R/s527URZToaSABsGHeIIPHvJj7IyI0qD0WTIxoNpFprWko1EVUDe114mBo0zAR0o+JkA1hImT8RXHWyF7409Z0WKoTqVuAB7oHeeDYhTyTtvf3dsG8hD7IvFqIf//nDorLxT2JLplGX+9Mc0yZakYqAX7zbIBBvTmtyZK9TqQbEyH9mAjZECZC9Yy9KFpirjFz9+np7oi3xkdoJoNVn8fHey/ien6JWcdmjxykgEqA3hnNn3ZSCeDbwQUFRZVG99IY0jujizE/IlycHDD8uSAMiQyyqSet1L1ON++XorK6Fg4S8IkwC2EipB8TIRvCRKgxQy+KxnwBdAvwQO+QDvg5r6TZ7n1Ldderk7rvLt3V2WslAeDnbdoXZvdAD3T188DdwjLkPyzHk4qno/epnZMMH/13LOrqBHzwj+9x71Hrv+edHWV4xt8Dvbp6ITrcF1+l55o8cFcCwNPdCZ5ujnB0kEImk0IqlUKpqtN6jza8nVRRXYvi0moUldXo3K8lemfspWfFnr+0rcWeY8pEyI4wEdLNkA9wa3wBtPYgUV1fmJdvPsLN+6VQ1tbp3Ze/twuWTO0HF2d5o+XqfVy59bjZxEgCwN1VDqlEgpLyGp29Msb2aEgAeLjKUVGtMvrY8wrLsPfb68j9//OuEwTUqixzWWru/5ExMZc7SNEtwANhwR109k4Y8yXTWmNt2vo1WpM9f2lbiz3HlImQHWEipJu1v2Ss8aXSMDmoVQlwkEnQ1c8dE+NDG91+M+W4x7wQCi93ZxQWlhqcoKnXO8gkkMmkqFUJUKnqdMaiNY4dEPCkQonyylqo6gRIUAeVIIFKVQf1BaydkwN8PNtBJpWY9P/InOO25y8Za2A8Lc+eY8pEyI4wEdLNnj/A1sB4Wh5jalmMp+XZc0zNTYQ41xgRERGJFhMhIiIiEi0mQkRERCRaTISIiIhItJgIERERkWgxESIiIiLRYiJEREREosVEiIiIiESLiRARERGJFhMhIiIiEi0mQkRERCRanGvMhgiCgNpmZsAWK/UcMkqlyspHYh8YT8tjTC2L8bQ8e46pg4MUEonE5O2ZCBEREZFo8dYYERERiRYTISIiIhItJkJEREQkWkyEiIiISLSYCBEREZFoMREiIiIi0WIiRERERKLFRIiIiIhEi4kQERERiRYTISIiIhItJkJEREQkWkyEiIiISLSYCBEREZFoMREiIiIi0WIiRERERKLFRIiIiIhEi4kQERERiRYTISIiIhItJkJEREQkWkyEyOpOnTqFmTNnon///ujduzfi4+OxatUqPHz4UGf7tLQ0zJw5EzExMYiMjMSrr76K/fv3QxCENj5y23Hr1i1ERERg5cqVetsYG7fa2lrs27cPCQkJiIqKwoABAzBr1iycP3++tU7DZrQUz8rKSvz1r3/F6NGjERERgb59++Kll17C+vXrUVxcrHMbMccTMOw92lBZWRmGDRuGHj16IC8vT2cbMcfUkHheu3YNb7/9NgYNGoTevXtj0KBBWLhwIW7fvq2zvVjjyUSIrGrnzp1ITExEeno6QkNDERcXh5qaGnz66acYM2aM1gd2z549mDlzJjIyMhAWFobo6GjcuHEDS5cuxeLFi610Ftb18OFDzJkzB5WVlXrbGBs3QRCwaNEivPvuu8jLy0NsbCwUCgXS0tIwffp0/Otf/2rNU7KqluJZXFyM8ePHY+PGjcjPz0dkZCQGDBiAx48f429/+xsSEhJw//79RtuIOZ6AYe/RplasWIE7d+7oXS/mmBoSz9TUVCQkJOCLL76Aj48P4uLi4OjoiEOHDmHcuHFa11YxxxMCkZXk5eUJ4eHhQu/evYVz585plldXVwvz588XFAqFkJiYqFl+8+ZNoVevXkJUVJRw+fJlzfL8/Hxh2LBhgkKhEL7++us2PQdr++mnn4Thw4cLCoVCUCgUwnvvvafVxpS47d+/X1AoFMLo0aOFoqIizfK0tDShT58+Qp8+fYS7d++23olZiSHxXLx4saBQKIQpU6YIjx490iwvKSkRZs2aJSgUCuGPf/xjo23EGk9BMCymTR06dEjTXqFQCHfu3NFqI9aYGhLPvLw8ISIiQggPDxeOHDmiWV5TUyMsW7ZMUCgUwowZMxptI9Z4CoIgsEeIrCY9PR1KpRIDBw5EdHS0ZrmjoyPefPNNAGjUJbt9+3aoVCrMmjULYWFhmuUBAQF49913NW3EoKSkBB999BHGjx+P3NxcBAUF6W1rSty2bdsGAFi6dCk8PT01y2NiYjB9+nRUV1dj9+7dljwlqzI0nlVVVfjiiy8AAGvXrkWHDh006zw8PPDhhx9CIpHgu+++Q1FRkWad2OIJGPcebejOnTt47733EB4eDhcXF73txBZTYz/zFRUVmDVrFkaOHKlZLpfLsWjRIvj7++Phw4eorq7WrBNbPBtiIkRWI5PJAAAFBQVa69Tjg7y8vDTLTpw4AQB48cUXtdrHxsbC3d0dP/74Ix48eNAah2tTdu3ahe3bt6NDhw7YsmULxowZo7etsXH7+eefcfv2bXh7e6Nfv35a24wYMQIA8O2331riVGyCofF89OgRwsPDERUVhcDAQK313t7eaN++PQRB0LyvxRhPwLj3qFptbS0WLFgAlUqF9evXa64RTYkxpsbE8+jRo5DJZJg5c6bWOldXV5w8eRJHjhyBk5MTAHHGsyEmQmQ1MTExkMvluHz5MpYvX478/HxUVlYiPT0df/7znwEAiYmJAOoTo0ePHkEulyMkJERrXzKZTLP86tWrbXcSVuLn54dFixbh2LFjeOGFF/S2MyVu165dAwCEhoZCIpFobaNefvv2baPGfNgyQ+MZGBiIf/7zn9izZ4/O9bm5uSguLoZUKoWvry8AccYTMDymDSUlJeHixYv405/+pPP9qibGmBoaz7y8PDx+/BjPPPMMPD09kZubi61bt2LJkiVYt24dMjMztbYRYzwbcrD2AZB4+fn54S9/+QuWLFmCvXv3Yu/evZp1Xl5eSEpKwvDhwwH82mvUsWNHSKW683cfH59Gbe3ZuHHjDGpnStzU/1Z/kTfl5OQEDw8PlJSU4OHDh+jcubNRx26LDI1nS9avXw+gvqdNfXtBjPEEjI9pZmYmkpOTMXToUEycOLHZtmKMqaHxzM3NBVD/ud6xYwc2bNgApVKpWf/3v/8do0aNwurVq+Ho6AhAnPFsiD1CZFVhYWF48cUX4eDggMjISAwdOhQ+Pj4oKipCcnKy5qmRiooKAICzs7Pefam7edVtybS4lZeXG7yNui0BW7duRWpqKpydnbFw4ULNcsazZU+ePME777wDLy8vrFmzpsX2jKl+paWlAIDs7GysW7cOEyZMQGpqKjIyMrBp0yZ07NgRhw8fxrp16zTbiD2e7BEiq7ly5QpmzpwJJycn7N+/XzOQV6lUYsOGDdixYwemTp2Kr776StOboavbtilBxPWEmjIlbupxGYZsQ/U2bdqEzZs3QyqVYs2aNejRo4dmHePZsmXLluHu3btITk5uNABdH8ZUP/UA6CdPnmDChAlYtmyZZt2IESPg6+uLiRMnYs+ePZg9ezZ8fX1FH0/2CJHVvP/++yiaqUjeAAAJwklEQVQqKsKyZcsaPc0kl8uxcOFC9OvXD/fu3cOBAwfg6uoKoP6pHX3UF4DmnjQRG1PiZsw27dq1s8hxPq1qamqwcOFCbN68GQ4ODvjwww/xyiuvNGrDeDbvwIEDOHr0KKZMmYK4uDiDtmFM9Wt4vtOnT9daHxERgfDwcNTW1iIjIwMA48keIbKK6upqfP/995BIJBg4cKDWeolEgri4OPznP/9BdnY2Ro0aBaB+8K8gCDp/uajvc6vHvNCv9/yNiZt6m8LCQp37rK6uxpMnTyCRSNCpU6fWOOynwqNHj/DGG28gKysLbm5u2LhxIwYNGqTVjvFs3urVqwHUvw8XLFjQaJ36i/mDDz5Au3btMHHiRPTv358xbYa3t7fmb32P2AcFBSE7O1tT4kHs8WQiRFbx5MkT1NXVQSqV6n1EVr28trYWnp6e8PX1xYMHD5Cbm4vg4OBGbVUqFW7evAkAjW5LiJ0pcVP/+/r16zr3ef36dQiCgC5duoi29+327duYMWMG8vPzERQUhK1btyI0NFRnW8azeeqxaampqXrbfPPNNwDqB6H379+fMW2GQqGARCKBIAh48OABunTpotVGXZ5EnTSJPZ68NUZW4e3tDU9PT9TV1eHkyZM625w9exYA0KtXLwDQdJvrumCePXsWpaWl6NmzJ/z8/FrnoJ9Sxsata9euCA4ORkFBAS5evKi1zdGjRwEAQ4YMab2DtmEPHjzAtGnTkJ+fj759++Kzzz7TmwQBjGdLrl69qvcfd3d3APX1a65evYqEhAQAjGlz3N3d0b9/fwDA4cOHtdYXFhbip59+gkwm09QMEns8mQiRVUilUkyaNAlAfde4uo4FANTV1SEpKQlpaWnw8PDAq6++CgD4/e9/D5lMhm3btjX6sN69exerVq0CALz22mtteBZPB1PiNm3aNAD1g1gbTn6bnp6OXbt2QS6X4w9/+EMbHL3teeedd3Dv3j306NEDKSkpjW5F6MN4Wh5jqt/s2bMBAMnJyTh16pRmeVlZGRYvXoyKigq8/PLLjR6XF3M8eWuMrOaNN95ATk4OTpw4gdGjRyMqKgrt27dHTk4O8vPz4eLigo0bN2qeIunZsyfefPNNfPzxx5g8eTIGDBgAZ2dnnD9/HhUVFRg3bhxefvllK5+V7TElbpMmTcLp06dx8uRJjBgxAtHR0SgtLUVmZiYEQcDatWvh7+9vpTOynrNnz2qmfXF3d8fy5cv1tp0/f76m3grjaXmMqX5xcXGYN28ePvnkEyQmJqJv377w9vbGpUuX8PjxYygUCixdurTRNmKOJxMhshq5XI4tW7bg4MGDOHjwIHJyclBdXQ0fHx+MHz8es2fP1rq/nZiYiG7duiElJQU//PADJBIJunXrhkmTJuF3v/udlc7E9hkbN6lUiqSkJHz66ac4ePAgzpw5Azc3N8TGxuK1117DgAEDrHAW1qeergSAzgq9DU2fPl2TCDGelseYNm/u3Lno168fUlJScPHiRVy9ehWBgYGYPHkyZs2apTXWR8zxlAgsukJEREQixTFCREREJFpMhIiIiEi0mAgRERGRaDERIiIiItFiIkRERESixUSIiIiIRIuJEBEREYkWEyEiIiISLSZCREREJFpMhIiIiEi0mAgRERGRaHHSVSKyG3l5eYiPj9e7Xi6Xw83NDcHBwRgyZAimTJkCNzc3AMDUqVNx4cIFo1/zgw8+QEJCQqNlmZmZ+Pzzz5GRkYGCggIIgoAOHTogLCwM8fHx+O1vfwsHB15+iWwBP4lEZJcUCoUmyVFTKpV4/PgxsrKykJWVhX379iElJQVdu3aFQqFAbW2t1n6ys7NRU1MDf39/+Pv7a6339vbW/F1XV4dly5bhwIEDAABPT08888wzkMlkuHfvHo4fP47jx49j+/bt2LZtG4KCgix81kRkLM4+T0R2o2GP0K5duxAdHa2z3fnz5zFnzhyUlZUhMjISe/fu1bvPF154Afn5+Zg7dy7mzZvX7Otv2rQJmzdvRqdOnfDRRx/h+eefh0Qi0ay/ePEiFi1ahFu3biE4OBhHjhyBo6OjCWdKRJbCMUJEJDrR0dF46623AABZWVnIzs42e5+VlZVISUkBAKxZswYxMTGNkiAAiIiIwJYtW+Dk5IRbt27h0KFDZr8uEZmHiRARidLw4cM1f1+6dMns/f3yyy8oLy8HADz77LN624WEhOC5554DAPzwww9mvy4RmYdjhIhIlNzd3TV/qxMYc8jlcs3fJ06cwJgxY/S2XblyJaqqquDj42P26xKReZgIEZEo5ebmav728/Mze38hISEIDAxEfn4+li5diuzsbIwePRq9e/fWukUWGBho9usRkWXw1hgRidLOnTsB1PfkxMbGmr0/mUyGFStWwMHBAUqlErt378bYsWMRExODefPmISUlBTk5OWa/DhFZFnuEiEg0qqqqcPPmTezbtw+ff/45AGDGjBno2LGjRfY/ePBg7N69G8uXL8e1a9cAAEVFRUhNTUVqaiqA+t6gqVOnYurUqawlRGQD+CkkIrs0bdq0FtuMGzcO8+fPt+jrRkVF4fDhw8jKysI333yDc+fO4cqVK6irqwMA5OfnY+3atfjyyy+xc+fORmOViKjtMREiIrvUtKCiRCKBk5MTPD090aNHDwwbNgzdu3dvldeWSCSIiopCVFQUAKC0tBQZGRk4ffo0jhw5grKyMvz4449Yvnw5NmzY0CrHQESGYUFFIrIbhhZUNIYxBRUNUVJSgrlz5+LChQuQSqU4e/YsOnToYPZ+icg0HCxNRGQBr7/+OuLj4zVjj/Rp3749Vq5cCaB+So6GT68RUdtjIkREZAFlZWXIy8vDv//97xbbdurUSfM3e4OIrIuJEBGRBYwaNQoAcPz4caSnpzfb9ssvvwRQX3uoc+fOrX5sRKQfEyEiIgsYM2YMIiMjUVdXh9dffx1JSUkoLCxs1KasrAw7duzAqlWrIJVKsWjRIkilvAwTWROfGiMisgBHR0ckJydjwYIFOHXqFD755BMkJSUhKCgIXl5eKC8vR25uLmpra+Hi4oL3338fQ4YMsfZhE4keEyEiIgvx8PBAcnIyzp07h2PHjiEzMxMPHz7E/fv34erqip49e2LIkCEYP348fH19rX24RAQ+Pk9EREQixpvTREREJFpMhIiIiEi0mAgRERGRaDERIiIiItFiIkRERESixUSIiIiIRIuJEBEREYkWEyEiIiISLSZCREREJFpMhIiIiEi0mAgRERGRaDERIiIiItFiIkRERESixUSIiIiIRIuJEBEREYkWEyEiIiISLSZCREREJFpMhIiIiEi0mAgRERGRaP0fvxWhKrsvpoEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df['PTS'], df['WON'] + np.random.uniform(-0.1, 0.1, len(df['WON'])),\n",
    "         'o')\n",
    "plt.plot(df['PTS'], classifications)\n",
    "plt.xlabel('PTS')\n",
    "plt.ylabel('WON')\n",
    "plt.savefig('WON_vs_PTS_linear_regression_thresholded.png',\n",
    "            dpi=300,\n",
    "            bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Binned Probability Prediction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "An alternate approach to modeling is to do what I will call \"Binned Probability Prediction\".\n",
    "\n",
    "We will break out data into several bins, and compute the average win rate in each bin."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# remove the outlier game that had 4x overtime\n",
    "df_filtered = df.query('PTS < 160').copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>TEAM_NAME</th>\n",
       "      <th>GAME_ID</th>\n",
       "      <th>PTS</th>\n",
       "      <th>WON</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>415</th>\n",
       "      <td>Utah Jazz</td>\n",
       "      <td>21800210</td>\n",
       "      <td>68</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2031</th>\n",
       "      <td>Detroit Pistons</td>\n",
       "      <td>21801014</td>\n",
       "      <td>74</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000</th>\n",
       "      <td>Detroit Pistons</td>\n",
       "      <td>21801003</td>\n",
       "      <td>75</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2092</th>\n",
       "      <td>Charlotte Hornets</td>\n",
       "      <td>21801045</td>\n",
       "      <td>75</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>796</th>\n",
       "      <td>Orlando Magic</td>\n",
       "      <td>21800397</td>\n",
       "      <td>76</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2396</th>\n",
       "      <td>Houston Rockets</td>\n",
       "      <td>21801200</td>\n",
       "      <td>149</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1301</th>\n",
       "      <td>Philadelphia 76ers</td>\n",
       "      <td>21800652</td>\n",
       "      <td>149</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>New Orleans Pelicans</td>\n",
       "      <td>21800022</td>\n",
       "      <td>149</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>969</th>\n",
       "      <td>Washington Wizards</td>\n",
       "      <td>21800480</td>\n",
       "      <td>149</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1233</th>\n",
       "      <td>San Antonio Spurs</td>\n",
       "      <td>21800619</td>\n",
       "      <td>154</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2458 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                 TEAM_NAME   GAME_ID  PTS  WON\n",
       "415              Utah Jazz  21800210   68    0\n",
       "2031       Detroit Pistons  21801014   74    0\n",
       "2000       Detroit Pistons  21801003   75    0\n",
       "2092     Charlotte Hornets  21801045   75    0\n",
       "796          Orlando Magic  21800397   76    0\n",
       "...                    ...       ...  ...  ...\n",
       "2396       Houston Rockets  21801200  149    1\n",
       "1301    Philadelphia 76ers  21800652  149    1\n",
       "49    New Orleans Pelicans  21800022  149    1\n",
       "969     Washington Wizards  21800480  149    1\n",
       "1233     San Antonio Spurs  21800619  154    1\n",
       "\n",
       "[2458 rows x 4 columns]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_filtered"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "415     (67.914, 82.333]\n",
       "2031    (67.914, 82.333]\n",
       "2000    (67.914, 82.333]\n",
       "2092    (67.914, 82.333]\n",
       "796     (67.914, 82.333]\n",
       "              ...       \n",
       "2396    (139.667, 154.0]\n",
       "1301    (139.667, 154.0]\n",
       "49      (139.667, 154.0]\n",
       "969     (139.667, 154.0]\n",
       "1233    (139.667, 154.0]\n",
       "Name: PTS, Length: 2458, dtype: category\n",
       "Categories (6, interval[float64]): [(67.914, 82.333] < (82.333, 96.667] < (96.667, 111.0] < (111.0, 125.333] < (125.333, 139.667] < (139.667, 154.0]]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bins = pd.cut(df_filtered['PTS'], 6)  # 按值均分成6组\n",
    "bins"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Interval(96.667, 111.0, closed='right')"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bins[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "jittered_win_data = df_filtered['WON'] + np.random.uniform(\n",
    "    -0.1, 0.1, len(df_filtered['WON']))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df_filtered[['PTS']], jittered_win_data, 'o')\n",
    "for x in bins.unique():  # 不重复的值\n",
    "    plt.axvline(x.left, color='darkgray', linestyle='dashed')\n",
    "plt.xlabel('PTS')\n",
    "plt.ylabel('WON')\n",
    "plt.savefig('WON_vs_PTS_binned.png', dpi=300, bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>TEAM_NAME</th>\n",
       "      <th>GAME_ID</th>\n",
       "      <th>PTS</th>\n",
       "      <th>WON</th>\n",
       "      <th>bin</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>415</th>\n",
       "      <td>Utah Jazz</td>\n",
       "      <td>21800210</td>\n",
       "      <td>68</td>\n",
       "      <td>0</td>\n",
       "      <td>(67.914, 82.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2031</th>\n",
       "      <td>Detroit Pistons</td>\n",
       "      <td>21801014</td>\n",
       "      <td>74</td>\n",
       "      <td>0</td>\n",
       "      <td>(67.914, 82.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000</th>\n",
       "      <td>Detroit Pistons</td>\n",
       "      <td>21801003</td>\n",
       "      <td>75</td>\n",
       "      <td>0</td>\n",
       "      <td>(67.914, 82.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2092</th>\n",
       "      <td>Charlotte Hornets</td>\n",
       "      <td>21801045</td>\n",
       "      <td>75</td>\n",
       "      <td>0</td>\n",
       "      <td>(67.914, 82.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>796</th>\n",
       "      <td>Orlando Magic</td>\n",
       "      <td>21800397</td>\n",
       "      <td>76</td>\n",
       "      <td>0</td>\n",
       "      <td>(67.914, 82.333]</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              TEAM_NAME   GAME_ID  PTS  WON               bin\n",
       "415           Utah Jazz  21800210   68    0  (67.914, 82.333]\n",
       "2031    Detroit Pistons  21801014   74    0  (67.914, 82.333]\n",
       "2000    Detroit Pistons  21801003   75    0  (67.914, 82.333]\n",
       "2092  Charlotte Hornets  21801045   75    0  (67.914, 82.333]\n",
       "796       Orlando Magic  21800397   76    0  (67.914, 82.333]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_filtered['bin'] = bins\n",
    "df_filtered.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "bin\n",
       "(67.914, 82.333]       13\n",
       "(82.333, 96.667]      305\n",
       "(96.667, 111.0]       929\n",
       "(111.0, 125.333]      899\n",
       "(125.333, 139.667]    269\n",
       "(139.667, 154.0]       43\n",
       "dtype: int64"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_filtered.groupby('bin').size()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
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       " 103.8335,\n",
       " 103.8335,\n",
       " ...]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bin_centers = [(b.left + b.right) / 2 for b in bins]\n",
    "bin_centers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>TEAM_NAME</th>\n",
       "      <th>GAME_ID</th>\n",
       "      <th>PTS</th>\n",
       "      <th>WON</th>\n",
       "      <th>bin</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>415</th>\n",
       "      <td>Utah Jazz</td>\n",
       "      <td>21800210</td>\n",
       "      <td>68</td>\n",
       "      <td>0</td>\n",
       "      <td>75.1235</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2031</th>\n",
       "      <td>Detroit Pistons</td>\n",
       "      <td>21801014</td>\n",
       "      <td>74</td>\n",
       "      <td>0</td>\n",
       "      <td>75.1235</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000</th>\n",
       "      <td>Detroit Pistons</td>\n",
       "      <td>21801003</td>\n",
       "      <td>75</td>\n",
       "      <td>0</td>\n",
       "      <td>75.1235</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2092</th>\n",
       "      <td>Charlotte Hornets</td>\n",
       "      <td>21801045</td>\n",
       "      <td>75</td>\n",
       "      <td>0</td>\n",
       "      <td>75.1235</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>796</th>\n",
       "      <td>Orlando Magic</td>\n",
       "      <td>21800397</td>\n",
       "      <td>76</td>\n",
       "      <td>0</td>\n",
       "      <td>75.1235</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              TEAM_NAME   GAME_ID  PTS  WON      bin\n",
       "415           Utah Jazz  21800210   68    0  75.1235\n",
       "2031    Detroit Pistons  21801014   74    0  75.1235\n",
       "2000    Detroit Pistons  21801003   75    0  75.1235\n",
       "2092  Charlotte Hornets  21801045   75    0  75.1235\n",
       "796       Orlando Magic  21800397   76    0  75.1235"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_filtered['bin'] = bin_centers\n",
    "df_filtered.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "bin\n",
       "75.1235      13\n",
       "89.5000     305\n",
       "103.8335    929\n",
       "118.1665    899\n",
       "132.5000    269\n",
       "146.8335     43\n",
       "dtype: int64"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_filtered.groupby('bin').size()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "bin\n",
       "75.1235     0.000000\n",
       "89.5000     0.108197\n",
       "103.8335    0.361679\n",
       "118.1665    0.667408\n",
       "132.5000    0.836431\n",
       "146.8335    0.813953\n",
       "Name: WON, dtype: float64"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 求每组得分区间的胜率\n",
    "def win_rate(s):\n",
    "    num_win = sum(s)\n",
    "    num_played = len(s)\n",
    "    return num_win / num_played\n",
    "\n",
    "\n",
    "win_rates_by_bin = df_filtered.groupby('bin')['WON'].agg(win_rate)\n",
    "win_rates_by_bin"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df_filtered['PTS'], jittered_win_data, 'o')\n",
    "plt.plot(win_rates_by_bin.iloc[0:4], 'r')\n",
    "plt.plot(win_rates_by_bin.iloc[0:4], 'r*')\n",
    "plt.xlabel('PTS')\n",
    "plt.ylabel('WON')\n",
    "for x in bins.unique():\n",
    "    plt.axvline(x.left, color='darkgrey', linestyle='dashed')\n",
    "plt.legend(['data', 'win chane'])\n",
    "plt.savefig('WON_vs_PTS_binned_annotated_1st_four.png',\n",
    "            dpi=300,\n",
    "            bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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92iOiwNR56MqT8wdtDccFg6BIhJKTk/HEE09gw4YNUsLiqNzcXADAoEGDrN4/cOBAAMCJEyecaySRizg3iIissQxdDbKz/pjT5wnSH2NBkQjdcMMNuOOOO6BWq50+Rnl5OQCgd+/eVu9PSkrqsB+Rt/FqMSKyJftQCUYOTPDoUhvB+mOMCyqep9VqAQDh4eFW77ckWZb9PEGplCMx0fXVPHW6juO4CQlRUKl8W9TOG+yJXSDH5uIhvVl/jIisMppE5JU0YPqlGdjwW0HPD3CCWq10y3eUvwmKHiF3sKwuLAjdZ9Oiv1Tdo5Bz6dBkXzeBiHrQJzHS5n2eXr7o8KlK3DV3GC66IN4jx1cqgjNlYI/QeZGR5hevrfWHWlpaANjuMXIHvd6I2lr39DhNmXK19P91da0AWt1yXH9k+YVSUdFg1/6BGpvNuws9dmy9UcDHO8M8dvxAxbjYFgqxkcsEjL0oGeXVWuSeretx/6x0DR67cQS0rUZsO1iM06UNGJBmgEIAsjJiceRMNXI9WDKnobEV9bVaPDj3Iny+6SSy3XylqbZZb/fnrDdpNBFQ2ig5Yg8mQuclJSXh6NGjqKiosHq/ZW6QZa4QkbfxqjEi7xnaLxZ3zb4QMZEq6PTGbhMLuUzAhOEpWDA9E0qFHDEKuXkB1E4/0g7mVXq0zZZ5hJYV6edOHIBtB4uRU1iDFp35qrKsjFjsza1AQanjCY3RaHJ3k/0CE6HzsrKysHnzZpvrBFluz8rK8maziCSenKgYGx2GKRf3wYGTlThdUu+x8xAFAgGQkiCg+8TCXKVdQEFpPV75bL+UbEwckYrExI7H9fQFD1mdrhqzrEg/a1w/6ba6Jh2yDzm3MGuwXrDBROi8SZMmYdWqVfjvf/+LRx55pMNaQnq9Xlo/aMqUKb5qIoU4udxz4/P1TTpMHJGKrV5eJyQ2OgzNrYagvRqFApMgCNh2sBgTR6RKyZCFpT/IJIoormzCsYIadJ46ejS/Bt9mn8H0SzNw99xh0u2DMmI9dsGDXCZgZGYC1m/PR26nHqCJI1IRrpLjs40n8eth54fLOidawSLkEiG9Xo/CQvNci4yMDCiVSgDAqFGjMGzYMBw+fBivv/46Hn/8cQiCAKPRiOXLl6OkpARXXHEFhgwZ4svmUwhTyD0309KyWFpTi95j57CmpiEw5mdRaDGJItZtPY1vs89gwvAUzJs0AGu3nHYoiTCaRGz4rQDnKhrx4NyLoFLKccXwFHyXfcYjK8QnxYbjLx/s7nLso/k1+GbbaURHqFxaGVouEzBxRKqrzfRLIZcIlZWVYebMmQDMq0S3L8fx0ksvYeHChfjnP/+JTZs2ITMzE8ePH0dhYSH69OmDF154wVfNdoher0d29kZpe8KE6VLCF+r8LTZ1TTpsPVhs9Rdc51+iBoPnxueVchGRrccxb6R5e80eFfTGwK7Q7Q5KuYibxrR9eTAubUIhNpaVm3cdL0Nzq329ll3jUonPN53EbVcNRkxUGMYPS3F7z2t4mBwlVbYvtDGJcLk8xoThKV0+k4JFyCVC3cnMzMS6deuwcuVKbNu2DZs3b0ZycjIWLVqEe++9FwkJCb5uIgUJnd5os5va0q3efvIlANYZI/IRe5MgW7IPlWDuxAGIiVRhwfRMlFVrkWPH1WOZfWKQHB+BXw+XwNrbXyYAveMiuk2C3CErXYMF0zM9eg5fCspE6KGHHsJDDz1k9b60tDTk5OTYfGyfPn3w0ksveappRNDpjXjjy4PdfhBafomWVmnx6PwRUCnlQTtRkSjYWYaeZ43rB5VSjkfnj7DrKjTLkJwgCOgyEem80mrPJUGdr4YLVkGZCBH5s882nrTr1yDQVkPotqsGe3SiJRF5Vk5hjXT1Vk+Xt1smN/f0g8mTncRJGjWeWjQmaIfD2mMiRORFdY2t+PWwY5euWrrVPTnRkog8y9qVkbYub996sBhb9p1FTaNr83pcER2hCokkCGAiRORVW51Y6bV9t7onJloSkef1NLTd3bxBXwilofjgLBxC5KecXR065/zjFkzPRFa6xp1NIiIv6G4NHsu8wa0Hi/0iCQLM6yW5eqVZoGAiRORFzi4caHmcZaLlpJGpkHu6giMRuUVPa/A4Mm/QW47l1+Dxt3/Fh/85Ab0huBc8ZSJE5EXOdje3f5xlouVrD4xHksZzRYCJyD26W4PHmXmD3mI6f/Xqq58fgE4fvMkQEyEiLxrk5BL11rrVYyJViI7gQplE/mxo/7hu1+BxZt6gt+Wdq8NHG2wvOxPomAgRedEVw1McHtLqrls9lCY0EvmKK6PQT956Sbdr8Dg7b9AZMZEqp4fUtx8pDdo5Q7xqLAjJZDKkpfXtsE1mvoxNXZMOWw+VoFeE0qHLYrvrVnfX2kImE3C8RN5hmxiX7oRSbEwikBIfgfKaZqu9N4IAaKLCoIlSITJMDr1ch9SEKGh6qaEOU6JZa7B5bG8UHG6/MKK21Yi/fXUIp0vqHT7O99vzccuMQR5ooW8xEQpCcrkcmZlDfd0Mv+SL2LhyWWxPS9u7a20hoyhgTyE/DjpjXGwLtdiU1zTj2T9cggMnK60ugGjtx0piYrT0/7bqCsrlnv0xNrRfLO6afaHUvhiFHGU1zq1G/dvRUiZCROQYe8ppWGPv0vaeKuJIRB0ZTSIOnKzssgBiT1r1Rqz+8YTNuoKCBy/+lMuEDkmQRXOr7R6q7jj7OH/HRIjIgxy9LDY2OgxTLu5j8xemNY4UcSQi52UfKnbovdmqN+K5f+7AkVNVNvexUULMLWwNqzt7Sv+e0u08Th4h8hBnLoutb9I59EELcG0hIm8pr23BEjvW1qlr0mH99nzc89LGbpMgT+puWF3h5HCcs4/zd+wRCkImkxHnzhVK2336ZEAm49VFgHdj42o5DUe0L+L41KrtaNE7NnNVJogY1Lvtgz23TA6TyKSKcbEtVGNjPL+2TmmVFo/OHwGVsu3zwzwfMBeV5WdhEkUkhgM19d6Niz3D6v2To5F7ts7hY/dPie55pwDERCgIGY0m5OWdkLaTk9OYCJ3nzdi4Uk7D0UTIIiZSZZ586WAiJJcBl/Rt+1I7VSGHKXjXT7Mb42JbqMcmp6gWn286iduuGgygbT7g6eIa3DSmbS6No3ERBOeHywalx2BgHw0KSuvxymf7bU7mvmXGIDz7wW6Hj7/wd1nONczPMREi8hBXy2k4S6WUo6klOCc1EvmT7EMlmDtxAGIiVdJ8QKWLv6sGpcWgpkGH8tpmhx+bW1SH3KKOPT1H82vwbfaZDr1E6b2j0Ts2HGU19p8jOS4caYlRDrcpEATngB+RH3BHOQ1nxEaHufR4IrKPZSjbnWUyDEbR7SvGW4bzXv/ioFQq4+lFo6FW2ZcCqFUyLL11jFvb5E+YCBF5iDvLaTiCq00Tec+RM9VuLZOhVsk99h62DOcBQFSECq/cOw4p8RHdPiYlPgKv3T8eEergLefDoTEiD3FmscOeqlTbw2AM1otcifxPZW2zW8tkZGXEQgTcsmK8Ne2H86IiVFh+1+U4W9GINZtOoqC0AQajCIVcQN/kaNw0LTNoh8PaYyJE5CHOLHbYXTkNexmNQVzrgMjPtOqNqHOgZE53pB9CouiWFeOtsXZlalpiFJbcdLHbzxUoODRG5EELpmciK11j1749ldOwF4fGiLwnTClHTWOrW45l+SFk+RHlKTleLPQaCJgIEXmQPYsdymUCJo1MxWM3jui2nIa9nJ2bRESOS9SooTO43gvb+YeQIz+iHOWNQq+BhENjRB7WfrHDbQeL7S7Y6Cx3FWIlop5d2D8eZ0obnH68rQUQLT+iPt90EtlunIwNsNe4MyZCRF4SE6lyuGCjU+dhIVYir5AJwMQRqdiwqxA6BxcxBQClQoZX7htn84dQTz+iWnRG/Pu3AofP6+qVqcGGiRBREGIhViLPs/Tm9k2OxjEnrvLKTIuxqzfY1o+ousZWbNhV6PUrU4ONIIqerH1LjtDrjait1bp8HFEU0dLStmKoWh0OQQjeGkCJieb6NxUVPXdPh1JsdHqjA93qItp/HjfpACA44+IYxsW20I5NVrpGmtdXVNbQrmSF/XFZduelLl+evvrHEw71/k4amSqVBQkWGk0ElC4s6c0eoSAkCALCw7tfJCtUhVJsOnerb953FjU2L/MVzn9gU0eMi22hGRtrc3rSe0cjOS4CpdVa2BuXlPgIt6zR40jvr7uuTA027BHyI+7qEQo1jvQIhTJLUUgOlxE5Z9roNMwa18/qcFajVocn3tmB5taer8gKD5Pj1fvGuW215p56f+2pSB/IXO0RYiLkR5gIOYeJkP3s+cC8dGhvHMitQDMvsaVuqBQCAKHbS8fDw+R2JQae5Eo19/ZS4iOw/K7Lu92nUavDS5/uQ0mV7c/xlPgIPL1otEdKVtQ16bxyZaq/YSIURJgIOYeJkON6+sC05wPdn8gEgKsFmMllAlISInG2vNHhx8oEYNywFAgAth8ptat3obvyDEmacPz1iwM4ebau68m6IQjmK6qcuRKrveS4cDxxy2irr/VRWQlY/tFej/TgWGJSVN4IvcEEuSy0SlZ4GxOhIOKuRMhg0GP37l+l7UsuGQ+FIngL5jmSCIVabOxlKy7tv+T0BhNMomizlplCLmDy6DS0thi6/RIde1Eyyqu1yLXjyzGzTwyS4yPw6+ESq4mO5fLlOeP74rU1Bx1K3AQB0ESFQROlQkSYAlkZsbjswt54d/0x6YtbKRcxa1jbhI/vD6ugN9qeEGxpr62/31GCYJ7XMSC1FwABBaX10pd53+ToLrdZktn0Pho8988dOHKqqsdzqFVy9E/phSF9O/Yc9JQs2/te6qkX0trzMHFEKsJVcpeGctUqWY/FQj3Rg9M+LjKZgCuvvBK1tS2ONZ4cwkQoiLgrEdLr9cjO3ihtT5gwHUpl8H7ZO5IIhVps7OVIXGx9Qc6dmonYaDUqKhp6/BJ1dE6DvV3+1non+iRGIj0pGqVVTXYNF7Rvm0ww4aYxbYnQmj3WE6Hu2qttNaC2oRW1TTqHhmhcGUJJTIxGq96Iv63Z57F5I46+l5wZtnHsysc2jsbOnUVHO8dl7ty5qKtzTwkOso6JUBBhIuQcJkKuc0dcnBmi9Oc5DXVNOmw7UIRIXa50WzUGQBQUVnthemqvtb81OS4CRRVNOFfR6Naq3+2fC0/F2JvvJW/GzlVMhLyPl88TUcDy1mrbzoiJVOHKSzOQnd2WCM2ZMMDpL3tf/a3+HGN7BcPfQP6LRVeJiIgoZDERIiIiopDFRIiIiIhCFhMhIiIiCllMhIiIiChkMREiIiKikMXL54mIKKCJJhOac3MAAOGDsiDI+Buf7MdEKAjJZAISEpI6bJMZY2Md42Id42KbP8WmtSAfZ1/7fwCAjKXPQt2vv8/a0j4uKpUCMiZlfo+JUBCSyxUYNmy0r5vhlxgb6xgX6xgX2/wpNtrzvUEAoM054dNEqH1cLCt8k39jqkpERAFDFEWYWls7/Gs+cVy6v/nE8S73s5IUdYc9QkREFDB0Z4tQ8JdnbN7fdPgQ8h64p8NtfZ99HmHp6Z5uGgUo9ggREVHAaDyw3+HHNOzf64GWULBgj1AQMplMqKqqkLbj4xM5Ye88xsY6xsU6xsU2X8VGM206WosK0bjP/uSm+scf0LDzNyhiY6GMjYMiNhYKy3/jzP+VR0VDEFyf8N0+LjpdPVJSUlw+JnkWE6EgZDQaceTIPml7woTp/PA+j7GxjnGxjnGxzVexkUdEIuW+B1H780ZUfLEGMBl7fpBeD31ZKfRlpWi2sYugUHRMkNr9V3n+v/JevXq8NL9zXObOnevAX0e+wESIiIgCiiAIUKWkAjKZzURIFhEBUaeDaDDYdUzRYIC+ogL6igrbO8nlUMRozD1LcXFWkyYxMsKZP8ljuMZSz5gIERFRwBBF0dwbtOYzoJurwWRhYej72ptAayv0NdUw1NTA0Om/+ppqGKqrIep09p3caIShugqG6iq0nLK+i0mlAm64VtrO/+gTiOqojsNymlgICu98/frTGkv+iokQEREFBNFgQPlnH6Nu6y9d7osaZV67xzJ3yFBTg9r/bkD8NbMhj44GMvpaP6YowhHABrUAACAASURBVNSsbUuQqmusJk6mZluDal0O2GGz7D8/QabXd9lN3quX1eG39j1MMpXKvnN2w5/WWPJXTISIiMjvGRrqUfL3lWg+mdvlvsQFC6GZMg0AzL1Fn38KAKj67hvEXzO72+MKggB5RCTkEZEI65Nmcz9TS/P5XqR2CVJ1NQw11dJtpqYmu/8eY309jPX1aC3It7mPLCrKaoKkiI0zD81pYiFTq6X9RVHs0rvVZY2lyVM7/v0qlVsmiQeyoEiEzpw5g7fffht79+5FVVUVkpOTcfXVV+Oee+5BRIRj47UHDhzAO++8g3379qGpqQnx8fEYN24c7rvvPmRkZHjoLyAiIltai4pwbuWbMFRVSbeF9esHiEDSTbcgPDNTuj122gyoM/qh4qsv0OeRx9zWBpk6HKqUcPPcJBtMra1oqapASc5h6bakGdPQXFx2PmmqgbGh3u5zmhob0drYiNaiItvtioiQEiRBqUTT/n029+UaS9YFfCJ06NAh3HbbbdBqtRg+fDiGDRuGffv2YdWqVdi8eTM+++wzREVF2XWsH3/8EY8//jiMRiMuvPBCpKamIicnB+vWrcOGDRuwevVqDB8+3MN/ERERWTTs24vS9/4PYmurdFuvseORdOttkCmtDx2FZ2Yi46ml3mqiRBYWBmVib6BdItT/D7ehrq6t7Sa9Hsba2m7nLRnr6rqd/9SeSauFTquF7txZp9rceGAfEyFfN8AVBoMBjz32GLRaLZYvX4558+YBAFpaWvDoo4/i559/xuuvv45nnrG9CqlFc3MznnnmGZhMJvz1r3/FrFmzAJgvhXzllVewevVqPP3001i/fr1H/yYiIjIP81T/sB5V36xru1EQkDBvPmJ/d1XADufIlErIEhOhTEy0uY9oMMBQX9dh3lL7IThDTQ0MtTWAyeRSW6JGj4Fm2nSXjhEMAjoR+uGHH1BUVISxY8dKSRAAqNVqvPjii5g6dSq+/PJLPPLII4iJien2WAcOHEB9fT0GDRokJUEAIJfL8eijj+Ljjz9Gbm4uqqurERcX57G/iYgo1JlaW1H6wXto3LNLuk0WHo6Uu+9D5LDg75UXFAoo4+KhjIu3uY9oMsFYX98lQdJXV6H1zBnoK8ptn0AuR+KNN0MzZVrAJpTuFNCJ0M8//wwAmDFjRpf7YmNjcdlll2Hz5s3Ytm1bh+TGGrlcDgCorq6GTqeDqt1s/ZqaGhiNRiiVSruH2YiIyHH66moUr3wLrYUF0m3KpN5IffARhKXanp8TagSZDAqNBgqNBmorF4JVfrMO1d9/Z/WxcTNnIXYqe4IsAnplpdxc89UDWVlZVu8fOHAgAODEiRM9HmvYsGGIi4tDZWUlHn/8cZw+fRotLS04ePAgHnjgAQDA7bff3iFBIiIi92k+lYfCF57rkARFDLkQGf/7ZyZBDjDpdajL3mrz/vrsrTBZuaQ/VAV0j1B5ubnrr3fv3lbvT0pK6rBfd8LDw7Fy5Uo8+uij+Omnn/DTTz9J96nVaixbtgw33nijG1ptm1IpR2JitMvHMZlMmDx5srSdkKAJibIA9sQuVGPTE3fGxR2vYX8R6K8XTz4X7o5N+c9bcPbtf3RYCTrlmpnof+ftEM732AeCznFRKBRITPTuD+iiL7+CsbZW2o4fexkAoGrHTgDmNZZ0v25G+g3Xe7Vd/iqgEyGtVgvAnKhYY7ndsl9P+vfvjzlz5uD999/H4MGDkZycjNzcXBQVFWH16tUYOnQohg0b5p7Ge5BMJpOSQOqIsbGOcbGOcbHNXbERjUbkf/QJir9pG8YRFAoMuGcxkn/XddqDv/OH10zh519I/z/g7juRPPNqAEDJDz/izD/fAwAUff4FE6HzAjoRksvlMJlMPU72Eu24DLGkpAQLFy5ETU0N3nvvPYwdO1Z67IcffoiXXnoJf/jDH7B+/XqPVRPW642orbUvaaM2ll+9FRUNPm5JaOPz4D8C5bkwarUo+b9V0B45JN0mj4pGyv0PQj4oy+/b3xNfPQ8XvLkS5956HYnzboQiMxOVlY0AAOVlE5EelyytsRTo8bXQaCKgVDrfaxg4fbxWREZGAjBf+m5NS0sLAPOwV0/eeOMNnD17Fg8//LCUBAHmVUdvv/12zJ49Gw0NDVi9erXrDSciCnG6slIUvfh8hyRIlZaOjKXPIGKQ9XmfZB95RAQynlraYaFJC8saS3IHFxsOZgGdCFm6HytsVAu2zA2yp5ty+/btAICJEydavd8y5nvkyBFHm0lERO00HTuKwuXPQ1daIt0WdfFoZDz5NJQJttfXIfKEgB4ay8rKQm5uLvLy8jBq1Kgu9+fl5Un79aSurg6AeWKbNZbL6w3tJvL5K4PBgMOH90rbw4aNtvl3hRrGxjrGxTrGxTZnYiNVjv/i8w6LAcbNmoP4OXMhBNBEdFvax0WplGPChAk+bhH1JKBfdZMmTQIAbNiwoct9NTU12LlzJ5RKJcaPH9/jsS644AIAbWsTdZadnQ0AGDJkiLPN9RpRFFFbWy39s2eOVKhgbKxjXKxjXGxzNDaiwYDyj1ebC6KeT4IElQop99yPhLnXBUUSBHSMS0VFBV8zASCgX3kzZsxAamoqsrOz8emnn0q3t7S04Omnn4ZWq8W8efOQkJAg3afX63Hq1CmcOnUK+nbrKNxyyy0AgJUrV2L37t0dzvPVV1/h66+/hlKpxMKFCz38VxERBRdDQz3O/vUV1G39RbpNERuH9Cf+F9GXXOrDlhEF+NCYWq3Gyy+/jLvvvhvLli3D119/jbS0NOzfvx/l5eUYOnQolixZ0uExZWVlmDlzJgBg06ZNSEtLAwDccMMNOHz4ML744gssXLgQw4YNQ3JyMvLy8nDmzBkolUosX75cWqSRiIh6Zq1yvHrABUh94CEoYjQ+bBmRWUAnQgBw2WWXYe3atVi5ciV27dqFvLw8pKWlYd68ebjzzjsdKomxbNkyXHHFFfj8889x5MgRHD9+HLGxsZg1axYWL14cEMNiRET+wpnK8UTeFvCJEAAMGjQIK1assGvftLQ05OTk2Lx/+vTpmD6dNViIiJwVrJXjKTgFRSJERET+IdQrx1PgYSJERERuwcrxFIiYCBERkcta8k+j/B9vw1hfL90WMeRCpNx7P+TnqwAQ+SMmQkRE5LLiFW9CaFfuSDNtBhLn3xRQleMpNDERIiIil4kGAwQAkMvR+5ZbEXPFJF83icguTISCkCAIiIqK7rBNZoyNdYyLdYyLbaaWZqiaWyBaeoFEUaocH8pFU9u/ZhQKOV8zAUAQuf6339Drjait1fq6GQEnMdH8oVNR0eDjloQ2Pg/+w9PPha6sFMV/e6tD0VRVWjr6PPgwi6a2w/eEd2g0EVAqnR+CZY8QERHZrenYUZSs+jtM2ibptqiLRyP5zrsgU6t92DIi5zARIiKiHoVC5XgKTUyEiIioW6LBgPLPPu5QNFVQqZD8h8UsmkoBj4lQEBJFEY2NbWPSUVHRnLB3HmNjHeNiHeNirhxf8veVaD6ZK92miI1DygMPwRAfj4YG87pBoRgba9q/ZhQKA2JiYnzcIuoJE6EgZDAYsGfPr9L2hAnToVQqfdgi/8HYWMe4WBfqcbFaOf6CgUi9/0GIEZH4LXujdHuoxcaWzq+ZuXPn+rA1ZA8mQkRE1IXVyvHjxiNp0e2QKZXQ6/U+bB2R+zARIiIiia3K8Yk33AjNjCs5/EVBh4kQEREBYOV4Ck1MhIiICPrqKhSvXNGlcnyfhx6BKoWV4yl4MREiIgpxzafyUPz2ClaOp5DERIiIKITVb/8VZR99ANFgkG5j5XgKJUyEiIhCkGgyofLrL1Gz4T9tN7JyPIUgJkJERCHGqNWi5P9WQXvkkHSbPDoaKfeFduV4Ck1MhIiIQojNyvEPPQJlfIIPW0bkG0yEiIhCBCvHE3XFRCgIyeVyDB48rMM2mTE21jEu1gVLXERRRO2mjaj4slPl+Nm/R/zs3ztVOT5YYuNu7eMSHa1mXAKAIIqi6OtGkJleb0RtrdbXzQg4iYnRAICKioYe9iRP4vPgP9o/FzYrx9+xGNFjWDnek/ie8A6NJgJKpfMJJ3uEiIiClK3K8akPPgx1336+axiRH2EiREQUhJry81H4wotWK8crYjQ+bBmRf2EiREQUZKp27ETumytgammRbmtfOZ6I2jARCkJGoxG5uUel7UGDLuSEvfMYG+sYF+sCLS7erBwfaLHxlvZxOXNGiVGjRvm4RdQTJkJByGQyobT0nLQ9cOAQfkCdx9hYx7hYF0hx8Xbl+ECKjTd1jsvIkSN92BqyBxMhIqIAIZpMaM7NAQCED8qSLnu3VjlenZqC5PseYuV4oh4wESIiChCtBfk4+9r/AwBkLH0W6n79rVaO14wcgaw/PYaaZq6OQtQTJkJERAFCe743CAC0OSegKy7uWjl++gwMvf8uc+X4Zq5fQ9QTJkJERH5IFEWIOl2H25pPHJf+v3bzzzBUVrTdKZMhaeGt0Fwx2ZwEEZFdmAgREfkh3dkiFPzlGZv3d0iCAMBkQnj/CzzcKqLg43iBGSIi8rjGA/udeMw+D7SEKLgxESIi8kOaadMRNWq03ftHjR4DzbTpHmwRUXBiIkRE5IfkEZFIue9BJN58C9DdnB+5HIkLFiLl3gcgj4j0XgOJggQTISIiPyUIAmKnzUCvy8fZ3Cdu5izETp3u1lWjiUIJE6EgJAiAQqGQ/vHzsQ1jYx3jYp0/xMXQ1IT6Hb/avL8+eytMer0XW2TmD7HxR+3jomRdt4AgiKLIFbf8hF5vRG2t1tfNCDiJidEAgIoKrpniS3wePKPw5eVoyTspbYcPyoI8KgqN+/ZKt8Vfez3ir5ktbfO58A98HrxDo4mAUun8khHsESIi8lPNeSc7JkGDhyDtT0+2zR06r+q7b3zRPKKgwHWEiIj8kLmI6rvStjwuDn0eflSaCxQ7bQbUGf1Q8dUX6PPIY75qJlHAYyJEROSHKv/1NfRlZeYNQUDqPfdDplJ12Cc8MxMZTy31QeuIggcToSAkiiIM7WoPmScyciYjwNjYwrhY56u4aHNzULvpv9J27JVXI/yCgR4/ryP4mrGufVx0Oh0nTAcAJkJByGAwIDt7o7Q9YcJ0vhnPY2ysY1ys80VcTK2tKPvgPeD8dSyq1FTE/36uR8/pDL5mrOscl7lz/e+5o444WZqIyI9Ufr0W+opy84ZMhuQ/LIZMqer+QUTkNCZCRER+QnviOGp/butNiLtqJtT9B/iwRUTBj4kQEZEfMLW0oHT1e9K2qk8a4mb/3octIgoNTISIiPxAxVdfwlBZad6QyZB8x2LIOOeGyOOYCBER+VjTsaOo2/KztB13zWyo+/bzXYOIQggTISIiHzI2N6Ns9fvSdlh6eodyGUTkWUFx+fyZM2fw9ttvY+/evaiqqkJycjKuvvpq3HPPPYiIiHDoWFqtFu+//z42bNiAwsJCyGQyDBkyBLfeeiuuuuoqD/0FRBSqKteugaG6yrwhlyP5jrsgKILio5koIAR8j9ChQ4dw3XXXYf369UhISMDkyZOh1WqxatUq3HTTTWhsbLT7WJWVlbjhhhvwt7/9DdXV1ZgwYQKysrKwb98+PPLII1i9erXn/hAiCjlNR4+gbusv0nb8rDkIS8/wYYuIQk9AJ0IGgwGPPfYYtFotli9fjrVr12LFihXYuHEjpk6dipycHLz++ut2H+/pp59GXl4errzySvz88894++23sWbNGrz//vtQKpV45ZVXUFxc7MG/iIhChVGr7TgkltEXcVdf48MWEYWmgE6EfvjhBxQVFWHs2LGYN2+edLtarcaLL76IiIgIfPnll6irq+vxWIcOHcKWLVuQkZGBV199FWFhYdJ948aNw3XXXYfk5GQcOXLEI38LEYWWii8/h6Gm2rwhlyP5jsUcEiPygYB+1/38s/kqixkzZnS5LzY2Fpdddhk2b96Mbdu2YdasWd0e68cffwQALFq0qEMSZLFs2TI3tNg7ZDIZ+vUb2GGbzBgb6xgX6zwVl8ZDB1GfvU3ajp8zF2Fp6W45trfwNWNd+7hERKggl8t93CLqSUAnQrm5uQCArKwsq/cPHDgQmzdvxokTJ3pMhCw9PSNHjoRWq8WGDRtw+PBhGI1GDBs2DLNmzYJarXbvH+Ahcrkc/ftn+roZfomxsY5xsc4TcTE2NaHsow+k7bB+/RF31UynjyeKIsTzdcksTCZTh/96giAI6Nv3AqvnDWXt45KYGA2AcbGHIAg+K9ob0IlQebm5Hk/v3r2t3p+UlNRhv+7k5+cDAGpqajBr1iycO3dOum/NmjX4xz/+gVWrViEzk18WROS8ijWfwVhbCwAQFArzkJiDvQaiKKK5uRFabSMMBl2X+6urzcczGIyuN5icxufBMTKZHGp1BNTqSKhUXUdmPCWgEyGtVgsANntqLLdb9uuO5eqyJUuWIDU1FZ988gmGDBmCs2fP4rXXXsO2bdtw11134fvvv0dUVJSb/oKOlEq59AuCHMfY+Qc+D7ZV79qN+h2/StsZt9yMtBGDHTqGKIooKSlBU1MtTCYRQNdf0QaDpQfCN7+wyYzPg2NE0YSWlibodFr06dMHvXr18sp5AzoRksvlMJlMPXande42tqa1tRUAoFKp8NFHHyEmJgYAMHjwYKxatQrXXnstcnNzsWbNGixevNj1xhNRSNE3NCDv76uk7ahBmejze8cXTmxoaEBtrTkJ6tUrFhERkRAEzs+hwCaKIvT6VjQ2NqC1tRnnzp2DUqlEeHi4x88d0IlQZGQkamtr0dzcbPX+lpYWALArkGq1Gk1NTZg7d66UBFkoFArcdNNNWLZsGXbs2OGxREivN6K2tufeq54YjUYUFp6WtjMyBgT1hD1LD0RFRUOP+4ZabOzljrg48jwECne+Xkr++Q70NW1DYgmL/oDKasff77W1lTAaTYiI6IXw8GiIItD5t55CYU6M2nok3E8UReh0rdK2ShXmszke/qR9XGQyAWp1OIxGzhHqmQCFQo2YmDDU1lagtbUZxcXl6NUrrsdHajQRUCqd/xwP6EQoKSkJtbW1qKioQHp61ysuLHODLHOFupOQkICmpiakpaVZvd9ye01NjQst9g6TyYT8/DxpOy2tH7/sz2NsrGNcrHNXXBr27UXDzh3Sdvy110OVkupUmyy912q1Y6vmu5soilJbAECpVDERQte4BMpFNv5CEARERESjtbUZLS1auxIhVwV0f6rlarG8vDyr91tut3VVmbVjlZWVWb2/oqICABAX5/knhYiCh7GhAeUffyhtqy8YiNgZVzp1LPMVYuaJtwquOURBSqlUAQBMJqNdU1tcFdCJ0KRJkwAAGzZs6HJfTU0Ndu7cCaVSifHjx/d4rMmTJwMwryek1+u73L9161YAwKWXXupCi4ko1JR/9jGMDfUAAEGlQvIfFkNwcs2djl8K7H2hYNX22mYi1IMZM2YgNTUV2dnZ+PTTT6XbW1pa8PTTT0Or1WLevHlISEiQ7tPr9Th16hROnTrVIeGZOXMm0tLSkJ+fj2XLlnW4b+3atdiwYQNiYmJw/fXXe+ePI6KA17BnFxp275K2E66bB1Vysg9bRESdBXTfqlqtxssvv4y7774by5Ytw9dff420tDTs378f5eXlGDp0KJYsWdLhMWVlZZg507x42aZNm6S5P+Hh4XjrrbewePFifPnll9iyZQtGjBiBgoIC5ObmIiwsDC+//DLi4+O9/ncSUeAx1Nej/JOPpe3wzEHQTJ3uwxYRkTVOJ0LuKj6amurchEGLyy67DGvXrsXKlSuxa9cu5OXlIS0tDfPmzcOdd97p0Jo/F110EdavX4933nkHmzdvxpYtW6DRaHDNNdfg7rvvxuDBjq33QUShSRRFlH/6EYyN5ivoBJUKvV0YEiMiz3E6EZo2bZrLJxcEAceOHXP5OIMGDcKKFSvs2jctLQ05OTk2709MTMTSpUuxdOlSl9tFRKGpcfcuNO7dI20nzJsPlR1Xr1Jg88Z8FnI/p3+eWOrbuPqPiCiYGOpqUfbpR9J2eNZgaCZP9WGLqDsTJozBhAljUHu+7Ikzamtr8dprL+Onn350Y8vIW5zuEdq0aZND+5tMJqxevRqfffYZAHMiNXfuXGdPT0Tkd0RRRNnHH8LU1AQAEMLCkHz7nUExJFbXpMPWg8XILaxBi86IMJUc/XuH4/IhCYiOUPq6eT71yivLsXXrZgwdeqGvm0JOcDoR6tOnj937FhQU4Mknn8SBAwcgiiISExPx/PPPS5esExEFg4adO9B0YL+0nXjDjVAmJvqwRa7T6Y34bONJ/Hq4BEZTx178Y/k1+M/uElw6OB63XjUEYarAT/icIYpcOTqQefyqsdWrV+Ott95CS0sLRFHE73//ezz99NNeK6ZGROQNhtoalH/WtoxHxJALETNpig9b5Dqd3og3vjyInCLbw0ZGk4gdxypR1XAIj80fCZULpQ6IfEEQPTRRp7CwEE899RT27dsn9QItW7YMU6YE9geDJ7mr1pgoijAYDNK2QqEI6qXvHalxFWqxsZc74hKMtcbsjYsoiij+25toOnQQACBTq9H3Ly9AGZ/QZV9XmEwmlJcXAQCSktIhszHk5q5aY6t/PIGtB+2/QnjSyFTcdpX/XV1rNBrxr3+txQ8/fIeiokJERkZi0qSpWLz4PsycaZ6/9f33G6HRaACYF+Rdu/Zz/PbbdhQXn0VzczOio3th8OAhuP76+Rg7dgIAoKSkGDfcMKfL+Z566hlcffUsKJVyaLVarF37BbKzt6KgIB9abRMiIiIxcGAmZs36Pa68cqb3AhEg7H2dW/hlrbGPPvoIb7zxhtQLNGfOHCxdupS9QF4iCAKUytAes7eFsbGOcbHO3rg07NguJUEAkDD/JrcnQd5W19iKXw+XOPSY7EMlmDtxAGIiVR5qleOMRiOeeupxbN+ejfDwcIwefQn0egO+//5bHDiwr8v+586dxQMP3IXKygqkpKRi5MhRMJlE5OXl4rfftuO337bjz39ehiuvnInw8Aj87ndX48CBfSgvL8NFFw1HamofpKWZv7zr6+txzz13ID//DOLj4zFs2HDI5XKcOXMa+/fvxf79e1FaWoLbbrvTB5EhC7cmQkVFRfjf//1f7Nmzh71ARBQS9DU1KP/8E2k74sKLEDNxkg9b5B5bD3WdE9QTo0nEtoPFmDWun2ca5YR169Zi+/ZspKdnYMWKVUhMNC9jUFCQjz/+8f4u+//972+hsrICc+fOw+OPPyH1ABoMBrzxxiv49tt1WLt2Da68ciY0Gg2eeeZ5PPXU4ygvL8OcOddi5szZ0rFWr34P+flnMH78RCxf/qpUH04URXz00fv45z//gbVrP2ci5GNum9n2ySefYM6cOVISNGfOHPzwww9MgogoaImiiLIPP4CpuRkAIAsPR+/b/hAUw625hTVOPS7Hycd5yrp1XwIAHnvsCSkJAoC+ffvh4Ycf67J/YmISLr10LO6++/4Oz6NCocDcufMAACUl5+w6d3R0NMaOHY/773+kQ5FcQRBw3XXzAZgvvddqXZ8SQc5zuUfo7NmzeOqpp6QEKCEhAcuWLcPUqVw3g4iCW/2v26A9ckjaTrxxAZRxwVGGp0Vn9OrjPKGysgJFRYVQq9UYPfqSLvdPmDAJSqWyQ23JP/7xT13202qbcPr0afz2268AAJ2ua2Fua+644y4AHedqtba2ID8/H0favW70eh2ACLuOSe7nUiL06aef4q9//Suam5ulXqCnn34aMTEx7mofOcFg0GPHji3S9tixk6FQcP4HwNjYwrhY111c9FVVqPjic+m+yGHD0Wv8BG830WPUKucmnzr7OE+oqCgHACQkJFmdcKtUKpGYmITi4o49PIWF+fjXv77GsWNHcO7cWdTWmnu52nqIbA8ZiqIJjY2N0rZO14KvvlqLQ4cO4OzZIlRXV0EUxQ69TVxb2LecToRuu+027Nq1C6IoQiaTYeHChZg6darDJTPGjh3rbBPIBlFEhytd+CZrw9hYx7hYZysu5iGx99uGxCIikHRrcAyJWQzKiMXRfMeHubIyYj3QGufY83zI5R0Tt7Vr12DFir9CFMXzk6UvRt++/TFoUBZ6907G4sW3dns8UWwrtZGdvRWvvvoi9Ho94uMTMHjwEPTrNwADB2Zi5MhRuPZaXjHmD5xOhHbu3AlBECAIAkRRxCeffIJPPvmk5we2465aY0RE3lS39Rdojx2VtpNuvgXKWP9JANzhiuEp+C77jEMTpuUyARNHuFZI250sc4LKy8tgMBg6zNMBzAlLVVWVtF1aWoKVK9+ATCbDsmUvYdKkjlM8cnJO2H3ulpZmvPXWa9Dr9Xj00T/huuvmd0jM6uvrnPmTyANcmiztap0xk4mrcRJRYNFXVqDiyzXSduSIkYi+fJwPW+QZMVFhGD8sxaHHTBie4leXzsfHJ+CCCzKh07Vix47sLvfv27cHWm2TtH306GEYjUZkZmZ1SYIASHOEun53de15ys/PR1NTEzQaDa6//sYuvVO//bZd+n+uTO1bTvcInThhf2ZMRBQMRNGEstXvQ2xtAQDIIiLRe9HtQTUk1t6C6Zkoq9Z2u7K0xaD0GCyYnumFVjnm5psX4oUXnsUbb7yKvn37ISOjHwCgrKwUr732Uod9Y2LMCyrm559GYWEBMjL6Svdt2vRffPjh+wDQYXI1AKhU5uSvoaG+3bHMc2Vra2tx8OABjBgxUrpv797deOut16Tt1ladq38mucDjJTaIiIJF/a/ZaD5xXNpOumUhFOdXIw5GKqUcj84fgc83nUS2jXWF5DJBqjWmVPjPRGmLq666BgcPHsD69f/C7bcvwKhRYyCTybFv327ExycgLi4e1dXm4bGLLx6NIUOG4vjxY7j99gUYOXIU1Go1Tp06iXPnziI5OQV1dXVobtaipqYasbFxqC50/AAAIABJREFUAID09AwAwAcf/BMHDx7ApElTMHbseIwbNxHbt2/Dww/fgxEjLkavXr1QWFiA06dPISYmBvHx8aiqqkJ1dSWSk5N9FqNQJ3/uueee83UjyMxkEtHSYt9lmd0fx4TCwtPSdkbGgC4TAoNJZGQYAECr7flXVajFxl7uiIsjz0Og6BwXxbffQdCZ/76oi0cjfu51Xu0NEkURTU3mXofIyBib55bJzLebHFwQ0Rq5XIaRAxMwaWQfRKoVkAlArwgVUuIjcGlWHBZO749RmXEIV6v9tmdswoQr0KdPGsrLy3DixHFUVVVi3LiJeO655fjppx/R0FCPBQtuRUREBKZNmwFBEFBVVYFTp06ipqYacXHxmD17Lv78578gLy8XhYUFSEtLx+DBQwAAWVmDUVJyDmfPFqGoqACJiUkYOXIUxo4dh/j4BFRUlOPMmdOoqChHdHQ0Zsy4En/+8wtobGzEsWNHoNHEYsyYS30cJf9h7+vcQq1WQi53fqaP22qNNTU14bvvvsMvv/yCnJwcVFdXQxRFxMXFYdCgQZg8eTLmzJmDqKgod5wuKLmr1pher0d29kZpe8KE6UFdPsGRGlehFht7uSMuwVhrrHNcUr5cB5leD1lUFPr9ZTkUXl4qxNu1xnpqS2Nj23MdFRXdY02oUNA5LrGxGhiNvAzTEQFZa+zHH3/Ec889h/p6cwbXPrcqLS1FWVkZtm3bhjfffBPPPvssrrnmGneclojIJ3rfcqvXkyAi8gyXE6GXX34ZH374oZT8ZGZmYsiQIYiPj4dCoUBNTQ2OHTuGnJwc1NfXY8mSJdi/fz+WLl3qcuOJiLwtaswliL6EwxhEwcKlROjrr7/G6tWrAQC/+93v8Nhjj6Ffv35W9z137hzefvttrFu3Dp9++imGDh2K6667zpXTExF5VOfLmuVRUUi6ZZGPWkNEnuB0IlRdXY0XXngBgiDgySefxG233dbt/n369MGLL76IESNG4Nlnn8Xzzz+PyZMnIy4uztkmkA0ymQzJyX06bJMZY2Md42Jdwy+bEVFwRtpOvPFmKKJ7+bBF/kMQhA7zyPx1orS3tY+LZdI6+TenE6G1a9eiubkZs2fP7jEJau/GG2/EoUOHsG7dOqxbtw6LFy92tglkg1wux5Ahw33dDL/E2FjHuHSlKy1F9bqvEXt+zZjoSy+Dhlf2SARBQHg4C4V21j4ulknr3dUmI99z+mff1q1bIQgC7r33Xocfe++990IURfzyyy/Onp6IyGNEkwmlH7wL8XwSJO/VC0kLOCRGFIycToTy8vIQHx+PCy64wOHHpqeno0+fPjh58qSzpyci8pia/25Ay6k8abv3otsh59IfREHJ6USoqakJKSmO1aFpLz4+Ho2NjU4/nojIE1qLi1H1r6+l7ejLxyLq4lE+bBEReZLTc4R69eolrRvkjPr6eoSHhzv9eLLNZDKhrKxY2u7dO5WTX89jbKxjXMxEoxFlH7wL0WAAAMg0GpimT0dJyVkAoRsXa0RR7FBzS6lUcsI0OsbFaBSgUoX5uEXUE6cTobS0NBw5cgQVFRVITEx06LGVlZUoKCjARRdd5OzpqRtGoxEnThyWthMSevPD+zzGxjrGxaxmw49oOdNWUiNhwSLsP5Pbth2icbFGFEW0tDRL2wqFgokQusbFUpCV/JfT7+ixY8fCZDLho48+cvixH374IQBg3Lhxzp6eiMitWs+dQ9V330jbvcaNR+QwXklHFOycToTmzZsHhUKBDz74ALt27bL7cdnZ2fjggw8gl8sxf/58Z09PROQ2osGA0vf/KQ2JyTUaJN60wMetIiJvcDoRSk9Px6233gqDwYC77roLn376KXQ621WndTod3n33Xdx3330wGo148MEH0adPH5v7ExF5S/V//o3WgnxpO/m2OyCPiPRdg4jIa1wqsbFkyRKcPHkS27ZtwwsvvICVK1fi0ksvxeDBg6HRaKBUKlFXV4cTJ04gOzsbtbW1EEURV111lVPrDxERuVtrURGq1n8rbfeacAWHxIhCiEuJkEwmw6pVq/Daa6/h448/Rk1NDX766Sf89NNPXfYVRRFKpRIPPfQQ7rrrLldOS0TkFpYhMRiNAABFXBwS59/k41aRP5kwYQwA4PvvN0Kj0fi0Lfv27cHDD9+L/v0H4OOPv/RpW4KJy9Xn5XI5nnjiCdxyyy347LPPsGPHDuTm5sJ4/oNFEAT07dsXU6ZMwc0334yMjAyXG01E5A7V//4erUWF0nbv2+6APIJlI4hCidOJUF5eHgYOHChtp6Wl4X/+538AmHt/6urq0NraCo1Gg7AwrqNARP6lpbAAVT+sl7ZjrpiMyAu5pAd19OmnXwEAoqOjfdwS8hSnE6HZs2cjKSkJ48aNw/jx4zFu3DipkrwgCD7vQiQissU8JPZu25BYfDwS59/o41aRP+rbt5+vm0Ae5nQiJIoiysrK8M033+Cbb76BIAjIysrC+PHjMX78eIwZMwZKpdKdbSUicouq77+D7myRtJ18+52QqbnSfTC5665bcfz4Mbz66psYO3ZCh/uuu+4alJeX4YEH/oibb17Y4b6HH74X+/btwTvvrMaFF15kdY7QvHmzUVFRjk2bfsXatWvw739/h3PnziE8XI2RI0dj/vyb0L+//XU4jUYj1q//Bhs2/IAzZ84AANLS0jFr1u8xa9bvoVB0/aouLS3F+++/g507t6OhoQFJSb0xbdrvcOutd3QZhdHr9fj++2+xefNGnD6dh4aGBoSHh6Nv3/6YMeNKXHvtDZDL5dL+Dz54Nw4c2Id1637A7t078a9/fYX8/NNQKBS48MLhWLTodowc2bXsjFbbhC+//BybN2/E2bNFkMsVGDgwE3PmXIsrr5zptwtuOp0IffPNN9i9ezd2796NvXv3oqqqCsePH8eJEyfw3nvvQa1WY8yYMVJilJmZ6c52ExE5pSU/H9X//l7ajpkyFRFDhvqwReQJ48dfgePHj2HXrp0dEqHCwnyUl5cBAPbv39MhEWpqasShQwcQHx+PoUMv7PEczzzzFLZt24LBg4di7NhxOHLkMH755Wfs2rUDb731D6Slpfd4jNbWVvzpT49g3749CA8Px4gRF0Mmk+PAgX147bWXsGfPTixb9nKHFc1raqqxePEiGAx6jBhxMVpaWnDgwD58+OF7OH78GF5//W/Svnq9Hn/84/04eHA/oqKicdFFwxAWFoaiokIcPXoYR48exqlTeXjiiaVd2rZixevYsmUTLrggE5ddNhYnT+Zi587t2LNnJ9588++4+OLR0r6VlRV45JH7UFCQD40mFqNGjYHRaMLBg/vwwgsHsHv3Tixd+he/TIacToQGDx6MwYMHY9GiRQCAU6dOYc+ePVJiVFJSgm3btiE7OxsAkJiYKA2hjR8/XhpGI/dTKBQYM2Z8h20yY2ysC5W4mPR681ViJhMAQJmQiMTrbS/sGshxMbW2wthqe203V4kioBbavpxNzc0Q3fAdJ8gVkLlhXumECZPw7rursHv3bx1u3717JwDzhT4HD+6H0WiUekN2794Jg8GA8eOv6PEL22g0Yu/eXfjb396RekdaWlrwxz/ehyNHDuP777/D//zPUwAEAKLN47z//v9h3749GDx4KF555Q3ExcUDMJeievDBu7Bly8/YuPEn/O53V0mPqa2txejRl2D58lcRFRUFADh06AAefPBu7Nq1AydP5iAzMwsA8O23X+Pgwf0YPHgoVqxYhYh2FwP85z8/4IUXnsW//70eDzzwR+lYFtnZv2DZspcxdep06W9+5pkn8csvm/HJJx92SISWLfszCgryceWVM7FkyVNSLdGKinIsWfIINmz4N4YMGfr/2bvv8Kiq9A/g3zstkz6ppEIoSQSkIzUYqgVRIouK6MqyuLCKfVkbLiouru76010X7Ku7CogioqIoKi2EDqFDEmp6z0zaTKbe3x/DXDLJzGTKnf5+nsdHbpk7Z947c/Pec849B3Pn+t5Tmbz9qvv374/+/fvjnnuM7ezl5eVcYnT48GGUl5dj8+bNZs1oOTk5+NOf/sRXEchVDMMgMjLK28XwSRQby4IlLk1bvoWmqpJb7rVwEQRSqdX9/TUuNevWounXX4zZir9hGMimTUfivPtcOsyAAZlISkrGlSuXUVdXi8TEXgCMyY5IJEJOTi527dqO4uJzGDTI2El+3z7jjfukSZPteo+7755v1kQklUoxe/ZvcPr0KVy6dAEikdDGqwGdTodvv/0aAPDCCy9zSRAAxMfHY8mSpfjoo/dQU1PV7bVPP73cLHEZOnQ4hgwZhhMnjuH8+RIuERKJRJg4cRLuuec+syQIAG655Tb8859voK2tFXV1NYiIGGC2ffr0m7kkCDAmj3fddS92796JCxeuzcF37twZFBYeQXJyCp5+erlZ01xCQiKeffYF/OEPC7B+/WeBnQh1lZ6ejvT0dNx5550AgPr6ehw9ehR79uzB1q1buWY0SoQIIZ6gunQJTT/+wC3Lpk5HWPZ1XiyR+zRt/9U/kyAAYFkodmx3ORECgIkTJ2HTpi9x6NABzJo1GzqdDseOHcWgQddjzJhx2LVrOwoLj2DQoOvBsiwOHtyH0NAwjBp1g13HHzJkWLd18fHGSchVKlW3bV0VFZ1FW1sr0tN7IyOjb7ftU6ZMx5Qp07utj4uLQ2pqWrf1vXolAQDa2lq5dXl5c5GXN9dsP61Wi/LyUpw9exosa6wd1Wi03Y5n6/N1nlj2yJHDAIzJmKWnxAcOHAyZLAZ1dbUoKytF7959uu3jTW6v5y0qKsKBAwdw9OhRnDt3DpWVlWCv/kCpMzUhxBMMWg1qP/6QSw7ECYmI/81dXi6V+8ROm+6/NUICAWRTp/FyqJycG7Fp05c4fNiYCJ09exrt7e0YNeoGriansPAo7r//dyguPofGxkZMnjzN7hnjLT1Sb2pmMxj0Pb6+vr4OwLUExl7WailN763Tmb93c7MC3323GUeOHEZFRRnq6+tguNo8fK0JsPt3xdL7XPt8Bm5dbW0NAGDbtq3Ytm2rzbLX1tYEfiJUW1uLPXv2YM+ePThw4ABaWloAgEt++vfvz3WgHjt2LN9vTwgh3TR+sxmammrjAsMYm8QCeHyzpPvuR+Lcu6B1Yx8hd+GrjxAAjBgxGuHh4Thy5BAMBgPXP2jUqBvQu3cfJCb2wqlTx6HT6bhmsRtvnGx/WV3s+Nt54GFHOLL/yZPH8ec/P4729nZER0cjO3sQJk+eiv79MzFs2Ag89tgfuUSm+/vY9x6mWqUBA7LQr5/tp+V8sanZ5URIq9XiyJEjXPJz4cIFANcSH5lMhvHjx2PixImYNGkSevXq5epbkh4Yq3+vdRAcMWKcX3XydCeKjWWBHBfVxQuQ//wTtyybfhPCsrLteq0/x0UQEgKh0H217izLQqls45bDwiJ87okgkUiEMWPGY+fOX1FSUoTCwiOQSqUYPHgIAGD06DHYunULzp49jX37CiAUCjFu3MQejmofg8GAlpYWmwMxxsXFAwD3FFtXarUa33//LVJT0zBu3ASHy8CyLF599WW0t7dj/vzfYsmSR8wekwfMm9GcZfoc118/FMuWPevy8TzN6V/0+vXrkZ+fj0OHDkGlUnGJj0gkwvDhw7lanyFDhvjcjyPQsSxr9uVm/bF63E0oNpYFalwMGo1x4ERTk1ivJMTnzbH79YEaFz6wLAu93mC27IvX+pycG7Fz568oKMjHuXNnMHz4SK5bxqhRN2Dr1i345ZdtKC4+h5EjRyMqyrUai87fka5NVF0NHDgYISEhKCsrRWVlRbd+P0ePHsZbb/0d2dkDnUqE5PImVFwdL2vhwsXdkqCTJ4+jvb0dgHlTl6NMT48dOXIQGo2mW9Oi6dH6+PgEvPLKa4iKinb6vdxB0PMulq1cuRK7d++GUqlEeno67rvvPqxZswYHDx7E2rVr8dBDD2Ho0KE++cMghASHxs2boDVV+zMMkn7/YEA3iZHuxo+fCKFQiK+++gIajcasI/SoUWMAAN999zVYlsWkSbkeLZvxKbM5YFkWq1a9hJaWZm5bQ0MDVq9+CwAwe7b9yXtn4eHhXNKXn7/TbNv588V45ZUXuWWNxvlm1BEjRmHgwEGoqCjH3/++CkqlktvW3t6GV15ZgdLSKxAIBD6XBAE8NI1lZmbijjvuwIQJEzB4cM8DUBFCiCeozpdA/uvP3HLMTbcgtP8AG68ggSgqKhpDhgzD8eOFAK4lP4DxEfWMjH64cuUSAOPYQ562ZMlSlJQU4/jxQtx992wMGzYCOp0eJ08eh0qlxOTJU3H77XlOHTskRIo5c+7GF1+swyuvrMA333yFuLgE1NRUo6joLKRSKZKTU1FdXYnGxkaXPsdLL72KJ554GD/99AP27y9AdvYgCIUCnDp1Am1tbUhNTcPy5S+59B7u4nSN0MSJExESEoLz58/jzTffxNy5czFhwgQsW7YM33zzDRoaGvgsJyGE2M2gVqPmk/9wTWKSpGTE5d3p5VIRb5k48UYAxo66WV36h40ebawhyszMQlJSssfLFhIixVtvrcFjj/0JKSlpOHr0MI4dO4r09N5YtuxZrFz5mkstK0uXPo5nnnkBWVnX4dKli1ebr9S4/fY78ckn63HXXcax//bs2eXS50hNTcN//rMWv/vdg4iLi8eJE4U4deoEkpJS8OCDf8SHH37KPXrvaxjWhUZvjUaDgwcPciNIX7pkzKpNJ800aCLNPWYfrVYPhULZ8449HkeLgoJfueWcnOkBHfuEBGNnxPr6njv9BVts7MVHXBw5D+5W9/k6KLb/YlxgGKQ/9wJCe3iaxRJf+74YDAbU1Rn7fCQmpptNu9CZSGRcr9M53+/DnrJ07j8VERFptTzBpGtcYmJk0Oupb5kj7P2em8hkYRCLbQ9eaYtLTWMSiQSTJk3CpEmTAADV1dXIz8/nHp0vKioym3tszJgxyMnJQU5ODvr27T54FCGEuEpZXHQtCQIQc8tMp5IgQkhw4PU50OTkZNxzzz245557oNfrcezYMe6x+nPnzmH37t3YvXs3GIZBcnIycnJysHLlSj6LQAgJYoaODtT+9z/csiQlFXF3ONe/ghASHNxWjykUCjF69Gg8+eST+Prrr7F//36sXr0a8+fPR1hYGKqqqrBx40Z3vT0hJAjVb9oIbX29cUEgMD4lRk2fhBAb3D4yWGlpKQoLC3HixAmcPHkSJSUl0Ol0AFwflZMQQkyU586ieed2bjl25m2QWpi/iRBCOuM1EdJqtThz5gwKCwu5/+RyOYBrg0ylp6dj/Pjx3H98uHz5MtasWYOjR4+isbERSUlJuPXWW7FkyZJus+066vXXX8fHH3+MRx55BI8++igv5SWE8MvQoUJN5yaxtHTEzZrtxRIRQvyFS4mQQqHAsWPHuKTn9OnT3KBMpsQnLi4O48aNw7hx4zBhwgSkpqa6XupOTp48iQULFkCpVGLo0KEYMmQICgsL8d5772Hnzp1Yv349IiIinDr23r178cknn/BaXk9gGAYyWazZMjGi2Fjm73Gp3/gFdKZxUIRCJP3+QTA8TIXh73FxJ4ZhIBIJzZaJeVwoJv7B6SvFzJkzcfnyZW7ZlPiEhYVh9OjRmDBhAsaNG4frrrvO9VJaodPp8NRTT0GpVGLVqlWYO3cuAKCjowNPPvkkduzYgTfffBMrVqxw+NhNTU145pln/HJIfZFIhBEjaEJbSyg2lvlzXNrPnEbz7l3ccuzMWZDyNLu1P8fF3RiGQViYczeZgaxzXEzDGFia2Z34DqcTIdOYQSKRCEOHDuUSn+HDh3tsUsIffvgB5eXlGD9+PJcEAcZhy1999VVMnToVX375JR5//HFERzs2rPfzzz8PuVyOkSNHorCwkO+iE0J4oFcqUfu/j7nlkPTeiLvtdi+WiBDib5zOWBYsWIAJEybghhtucLkfjrN27NgBAJgxY0a3bTExMRg7dix27tyJPXv2YNasWXYfd926ddi5cycef/xxyOVySoQI8VH1GzdA19RkXOCxScxXdW5q8cfaakLswbLXBgL1RPOi04/PP/fcc8jNzfVaEgQAJSUlAIwjWFsyYIBxXqGioiK7j3n+/Hm8/vrrGDlyJJYsWeJ6IQkhbtF++iRa9uRzy3G3z0ZIem8vlsj9GIaBUGgcDkCj6fByaQhxD5WqHQAgEkk8kgj59a1TXV0dAKBXr14WtycmJprt1xO1Wo2nnnoKYrEY//jHPyAUOj9ktzcZDAY0N8u55ejoGBr6/iqKjWX+Fhe9sh21/7v2IENInwzE3jKT9/fxxbhIpWFob29GS4uxJkwikXb7Y2EwmP7vvik2WJaFwaDnlgUCIXUOhnlc9HoBRCKRW89D4GCh0+nQ0aGEUtkCAB7rg+bXiZBSaZyXSyqVWtxuWm/aryd///vfUVJSgtdffx1paWn8FNIBYrGQm6/JFRqNBrt3b+OW8/LyIJFIXD6ur7MndsEam57wGRc+vsM9Of+v/0F3dWgORiTCwD89jvDkGN7fxxe/L7GxYSgr00GlUqGlpRHeayFjoddfS4SMN46UCFFcnMcwxv+EQgFiYmLQq1cvj9x4+HUiJBQKYTAYerwLsactfdeuXVi7di1mzpyJvDwakp8QX9V0+Ajqduzklnvfew/C+wR2k1hnQqEQvXv3RmNjI1pbW7khSzyNZVm0tDRzyzExMVQjBIqLK4RCIcLDwxEZGYnIyEiPxc2vE6Hw8HAoFAqoVCqL2zs6jG3ooaGhNo/T0NCA5557DsnJyXj55Zd5L6e9+Jx9vrOGhraAnmHd0dnnOwv02NiLj7h4YvZ5fVsbrvz7XW45JKMvJDlT3faevvx9YZhQREWFgmXZbjd7njgXOp1xAF2TjIxsiES+ERtv6hqXUaNGoblZ7cUS+QeGYbjER60G1Oo2u1/r1dnnvS0xMREKhQL19fVIT0/vtt3UN8jUV8iad955B01NTRg4cGC3SWBNX+iff/4ZpaWl6N+/Px566CGePgEhxBF1G9ZB36wAYGwSS/r9g2D8tC8fXzr/ATExNSe4s1mBYQRmCRjDCLzef8oXdI2LQEBx8XV+nQhlZ2ejpKQEFy5cwMiRI7ttv3DhArefLaY+ROfOncO5c+cs7lNSUoKSkhKMGTOGEiFCvKDtWCFaD+znluPy5iAkhd+R6gkhwcev09Tc3FwAwLZt27ptk8vlOHjwIMRiMSZOnGjzOK+99hqKi4st/vfAAw8AAB555BEUFxfjs88+4/+DEEJs0re1ofaz/3LL0n79EXPTLd4rECEkYPh1IjRjxgykpKSgoKAA69at49Z3dHRg+fLlUCqVmDt3LuLj47ltWq0WFy9exMWLF7u1/xNCfFPd+rXQtxgfqWXEYmOTGDU3EEJ44NdNY1KpFK+99hoWL16MlStXYtOmTUhLS8OxY8dQV1eHQYMGYdmyZWavqa2txcyZxvFGtm/f7pXH5Akh1rEGA1QlxQCA0KxstB07itZDB7jt8Xf+BpKkZG8VjxASYPz+lmrs2LHYuHEjbr75ZlRVVWHXrl2IjIzEww8/jM8++8zpmecJId6hLr2CijdeR8Ubr0N57izq1n7KbZMOyIRs+k1eLB0hJND4dY2QSVZWFt5++2279k1LS0NxcbHdx16+fDmWL1/ubNEIIQ5Sllz7fdZv/AL6VuMj4IxEgqSFi6hJjBDCq4BIhAgh/ollWbBdBgRUFV17clNTUc79O+6OOyGSxYBlWRqgjhDCG4alKYx9Bl8DKhoMBjQ21nPLcXEJAT2OhSODxwVbbOzFR1ycGcRPXV6G0pdXOPQ+fV58BSEWxg1zB3/9vnhiQEV/jY27dY5LdHQokpOT0djY7uVSBbagHlCRWCYQCJCQYHki2mBHsbHMW3FpO37MidcUeiwRou+LdRQbyzrHxRPz7hHXUfpOCPEa2bTpiBg5yu79I0aNhmzadDeWiBASbCgRIoR4jTAsHMkPPYKEe+8DbE2VIRQiYf79SP7jUgjDwj1XQEJIwKNEiBDiVQzDIGbaDMhyp1jdJ3bmLMRMnU6dpAkhvKM+QgFIr9fh7NkT3PKgQcMgFNKpBig21ng7Lrq2Nih277S6vaUgH7EzZ0Hg4ZnfvR0XX0axsaxzXCQSEcaNG+flEpGe0Lc2ABkMLBoa6syWg3yCbg7FxjJvxoVlWVT8/W+AXs+tC8nIgDg2Dm2FRwEAOrkc8p9/Qtxtt3umUFfR98U6io1l3eNi8GJpiD2oaYwQ4lXyH3+ApqqSWw7Nvg69l794re/QVY3ffeON4hFCAhzVCBFCvKbt5HE0bN7ELYdk9EXaU3/m+gLFTJsBae8M1H/1BVIff8pbxSSEBDBKhAghXqGprkLNh+8DV8d0FSckIO2JP4Hp0r4SmpmJ3s+94I0iEkKCADWNEUI8Tq9UonLN2zCoVAAAJiQEKY88DiFNkkwI8TBKhAghHsUaDKj56H1oa2q4dUm//wNCUtO8WCpCSLCiRIgQ4lGN33yN9pPXHruOvX02IkeN9mKJCCHBjBIhQojHtB4+hKat33PL4cNHIO722V4sESEk2FEiRAjxCHV5GWo++YhblqSkIGnRYjA0YzkhxIvoCkQIcTt9aysqV/8LrEYDABCEhSFl6eMQhoZ6uWSEkGBHj88HIIYBpNJQs2ViRLGxzJ1xYXU6VL23BrrGRu7gyYsfgqRXL/7exE3o+2IdxcayznERCBiaH88PMCx7dRAP4nVarR4KhdLbxfA7CQmRAID6+lYvlyS4WTsPdevXQrHjV245/q57EHvzrR4tW7Ch34RvoPPgGTJZGMRi5+d3oaYxQojbNBfkmyVBkWPHI+amW7xYIkIIMUeJECHELVQXL6Bu7afcckjvPui1YCE1FRBCfAolQoQQ3ukUclS9sxqsTgcAEEZGImXpYxBIJF4uGSGEmKPO0gGIZVl0dKgKofsxAAAgAElEQVS4Zak0lO7Cr6LYWMZnXAxaDare+Tf0zQrjCqEQyQ89AnFcHB9F9Sj6vlhHsbGsc1za2wUICwvzcolITygRCkA6nQ4HDuzmlnNypkMsFnuxRL6DYmMZX3FhWRZ1n32KjkuXuHWJ996HsKxsXsrpafR9sY5iY1nXuOTl5XmxNMQe1DRGCOFN9fdb0bKvgFuOvnEyZJOnerFEhBBiGyVChBBeKE6ewuWP/8stSwdkInH+/d4rECGE2IGaxgghLtPW1+PS3/8PMBgAAKKYWKQ89AgYEV1iCCG+jWqECCEuMajVqFzzNnStxkHjGLEYKUsfhSg62sslI4SQnlEiRAhxGsuyqPnkI2gqyrl1vR5YCGlGXy+WihBC7Ef11oQQpzVt/R5tRw5zyyl5dyBi/AQvlogQQhxDNUKEEKe0nTiOxm++5pZlw4ch4wHqHE0I8S+UCBFCHKaprkLNh+8BV+dsFickIGvZk2CEzk98SAgh3kCJECHEIXplOypXvw1DRwcAgAmRIuWRJyCOjPRyyQghxHGUCBFC7MYaDKj58H1oa2u4dckP/gEhqaleLBUhhDiPOksHIKFQgAEDrjNbJkYUG8vsjUvD5k1oP3WSW469fTYiRoxye/m8hb4v1lFsLOscl4gIKYTUXOzzKBEKQAKBEOnp9PiyJRQby+yJS+uhg5D/+AO3HD5iJOJun+3uonkVfV+so9hY1jkuCQnUXOwPKIUnhPSoo6wUNf/9D7csSUlF8qI/gBHQJYQQ4t/oKkYIsUnX2oKq1W+D1WgAAIKwMKQsfQwCaaiXS0YIIa6jRIgQYhWr06H63TXQNTUaVzAMkpc8DEmvXt4tGCGE8IT6CAUgvV6PS5eKueV+/bKpw95VFBvLrMWl/svPoSq5tj5+7t0IH3y9N4roFfR9sY5iY1nnuFRUSDBkyBAvl4j0hBKhAGQwGFBRUcotZ2Rk0gXqKoqNZZbi0ravAIod27l1kePGI+amW7xRPK+h74t1FBvLusZl8ODBXiwNsQc1jRFCuum4cgm1az/llkP6ZKDXAwvBMIwXS0UIIfyjRIgQ0k3NRx8Aej0AQBgZhZSlj0IgkXi5VIQQwj9KhAgh3ehbWoz/EAqR8vAjEMfGebdAhBDiJpQIEUKsSpx/P0Izs7xdDEIIcRtKhAghFkXnToYsd4q3i0EIIW5FiRAhxOwReQCQ9h+AxHvv91JpCCHEcygRIiTIaerrUPPJh2brkhY+CEZEo2sQQgIfJUKEBDFDRweqVr8NQ7vSbL0wKspLJSKEEM+iRIiQIMWyLGo++QiaygpvF4UQQryGEiFCglTTD1vQdvSIt4tBCCFexbAsy3q7EMRIq9VDoVD2vCMxk5AQCQCor2/1ckn8R9vxY6ha/S9uOWzw9Uh9/CkwAufvjeg8+A46F76BzoNnyGRhEIudn94lIHpDXr58GWvWrMHRo0fR2NiIpKQk3HrrrViyZAnCwsIcOtauXbuwdu1anD59Gq2trZDJZBg5ciQefPBBDBs2zE2fgBDPUVdVoeaj97llcWIvJC9+yKUkiBBC/JXfX/lOnjyJOXPmYMuWLYiPj8fkyZOhVCrx3nvvYd68eWhra7P7WG+++SaWLFmCgoICpKamYvLkyYiKisLPP/+Me++9F5s3b3bjJyHE/fTKdlSt+RcMHR0AACZEipSlj0EYHu7lkhFCiHf4dY2QTqfDU089BaVSiVWrVmHu3LkAgI6ODjz55JPYsWMH3nzzTaxYsaLHYx05cgTvv/8+QkND8f7772Ps2LHctg0bNuDFF1/EihUrMHbsWKSkpLjtMxHiLqzBgOoP3oO2tpZbl/zgYoSkpnqxVIQQ4l1+XSP0ww8/oLy8HOPHj+eSIACQSqV49dVXERYWhi+//BLNzc09Huurr74CADz44INmSRAAzJs3D7m5udBoNNi2bRu/H4IQD2n4+isoT5/iluPuyEPEiJFeLBEhhHifX9cI7dixAwAwY8aMbttiYmIwduxY7Ny5E3v27MGsWbNsHksqlSIrKwvjxo2zuL1fv37YvXs3ajvdTfsqrVaLgoJfueWcnOkQi8VeLJHvCNbYtBw8APlPW7nliBGjEDvrDm45WOPSE4qLdRQby7rGJS8vz4ulIfbw6xqhkpISAEB2drbF7QMGDAAAFBUV9Xisl156CVu2bMHo0aMtbj9x4gQAICkpyZmiEuI1HWWlqP3fx9yyJCUVSYsepM7RhBACP68RqqurAwD06tXL4vbExESz/Zy1Y8cOFBYWQiwWW6x94otYLOQet3SFRqMxW46Pj4BEInH5uL7OntgFW2w0imaUvvtvsFc/tygiAteveB6hyYnm+/EYFz6+w77C378v7jwX/h4bd+kaFyCwfhOByK9vCZVK45g7UqnU4nbTetN+ziguLsZzzz0HwNh/KJU6lhI/YdDpUPz3N6CubzCuEAiQ/eenEJpMtZqEEGLi1zVCQqEQBoMBDMPY3M/ZMSNPnjyJxYsXQ6FQYMqUKXjsscecOo69+BpQUavVmi03NLQFdNu9I4OWBVNsatd9hpYzZ7nlhLl3Q5vaz2Kc+IhLIA4e56/fF0+cC3+Njbt1jQsQWL8JX+TqgIp+XSMUfnXsE5VKZXF7x9WxUkJDQx0+9k8//YQHHngAcrkc06dPx9tvvw0B9akgfqI5fzead27nliPHjYdsxs1eLBEhhPgmv/7LbuoDVF9fb3G7qW+QaT97rVmzBk888QRUKhXmz5+Pt99+m9q+id9QXTiP2nWfcsshGX3R64GFPdacEkJIMPLrRMj0tNiFCxcsbjett/ZUWVcGgwHPPvssV/uzfPlyvPjiixAKna9yI8STtE1NqHrn34BeDwAQRkUh5eFHIaBEnhBCLPLrRCg3NxcALA5yKJfLcfDgQYjFYkycONGu473wwgvYvHkzwsLC8O677+KBBx7gtbyEuJNBq0HVO/+GvqXFuEIoRMpDj0IcG+vdghFCiA/z60RoxowZSElJQUFBAdatW8et7+jowPLly6FUKjF37lzEx8dz27RaLS5evIiLFy+adWr75ptvsGnTJohEIrzzzjtckkWIP2BZFnWf/g/qK5e5dYnzf4vQzEwvlooQQnyfXz81JpVK8dprr2Hx4sVYuXIlNm3ahLS0NBw7dgx1dXUYNGgQli1bZvaa2tpazJw5EwCwfft2pKWlQa/X45///CcAIC4uDps2bcKmTZssvmdOTg6NFEp8juLXn9Gyfy+3HD15KmS5k71XIEII8RN+nQgBwNixY7Fx40asXr0ahw4dwoULF5CWloa5c+di0aJFiIiI6PEYxcXFqK6uBmBMlLZs2WJ136ioKJ9PhAQCAdLS+pgtE6NAjE372TOo/3IDtxyamYXEefMdOkYgxoUPFBfrKDaWdY5LaKiE4uIHGNbZQXYI7/gaRyjYBOL4NfbS1Neh7K8vw9DeDgAQxcai9wsvQRQV5fGyBPN58DV0LnwDnQfPCOpxhAgJZoaODlStfptLghixGClLH/NKEkQIIf6KEiFC/BBrMKDmk4+gqazg1vX63SJI+2R4r1CEEOKHKBEixA81/bAFbUePcMsxN9+KqLHjvFgiQgjxT37fWZp0ZzDoUVlZxi2npvaGQECDQgKBEZu248fQ+O1mbjls8PWI/81dLh0zEOLiDhQX6yg2lnWOi1wuRf/+/b1cItITSoQCkF5vwIULRdxyUlIaXaCu8vfYqKsqUfPR+9yyOLEXkhc/BMbFJ1P8PS7uQnGxjmJjWde4ZGRkeK8wxC7UNEaIn9C3txs7R1+dTJgJkSLlkccgvDr5MCGEEMdRIkSIH2ANBlR/+B60dbXcuuQHFyMkJdWLpSKEEP9HiRAhfqDh66+gPH2KW46bfSciRoz0YokIISQwUCJEiI9rOXgA8p+2cssRI0ch9rbbvVgiQggJHJQIEeLDOkqvoPa//+GWJalpSPr9H1zuHE0IIcSIrqaE+ChdSwuq1rwNVqsFAAjCwpGy9DEIpFIvl4wQQgIHJUKE+CBWp0P1u6uha2oyrmAYJP/xYUgSE71bMEIICTCUCBHig+o2rIfqfAm3nHDXPIQPGuzFEhFCSGCiRIgQH6PI34XmXTu45cjxEyCbcZMXS0QIIYGLEiFCfIjq/HnUrfuMWw7J6Itev/0dGIbxYqkIISRwMSzLst4uBDHSavVQKJQuH4dlWXR0qLhlqTQ0oP+QJiREAgDq61t73NeXYsMaDFCVFAMAQrOyoVMoUPbXl6BvaQEACKOi0PuFlyCOjXV/WXiIiyPnwV/40vfFEZ44F/4aG3frHJe4uAiEhYWhoaHNy6UKbDJZGMRi56d3obnGAhDDMAgNDfN2MXySL8VGXXoFFW+8DgBIe+Z51H/xOZcEQShEysOPeiQJAnwrLr6E4mIdxcayznEJp+lv/AIlQoR4ifJqbRAA1G9YB3VpKbeceN9vETog0xvFIoSQoEKJEPFbze0a5J+owuWaVqjUOogYILt3DCYNS0F0uMTbxTPDsixYjcZsnaroHPfvzklQ1I25iBo7HizL2mxqMH3+kjI5OjR6SCVCi5/f3v0sqahvw4bt51Fa0wqdnoVIyKBPUiTmTctEWkKE2fHdeR4sfYak2DCU17ejsr6NK1tqQjjSEyNR09ju8H7u/u64ch4IIe5DfYR8CF99hAKdRqvH+l/PY++paugN3b++DAPIIkIgi5AgLETkE39s1OVlKH15hUOv6fPiKwhJT++2vqfPLxQwyBmajLm5/bBx16Ue95s/PRNikXn7eptSg1fXFqKmyfr3MSk2FP1SonHwbK3F4wOASMhAKGAgEgqcSj56+qx8sxUTZ9l7vmy9p6NJlLf7a1HSZ+Tt8xAsXO0jRImQD+ErEdLptDh8eC+3fMMNEyESiV0+ri/QaPV468sTKC5XOPQ60x+buyf3xfFj+7n1nopN45Zv0fjtZodeEzf7TsTdPttsnSOfPzRECJVa3+N+2ekyPDpnME4cN8bFYGDx5REGrSqDQ+V1loABJg1L4RIB0x/RoitNuFzTig5Nz5+Bb9npMjx59zAIGEOPvyVbf/RDJUK7z5fpPSWdLujOJlGe+ANs6TpjYAUuJ33+rnNcBAIGN998MxSKDi+XKrBRIhRA+EqEtFotCgp+5ZZzcqZDLA6MROi/PxYh/0SV068f1DsKo5LruWV3xabrH8cIRocJl3YhurzIrtcXR/TGvr6TESaLRFiICH2SIgEw2H+6GvI2TY+vd1SoBJg7Qs0tbzgigVbv+SeAREIGOr1vXJJiIkMwZXgSwjXXBrbs/H2xp2ZSLBJAo7U/oRQJGWSlyzBvWiYSZaF2J1FSiRB9k6MwsI8xARuQEQfAvYlQ1+vMsZoEXKhutytxtZT0BYquccnLy0Nzs9rGK4ir6KkxEjSa29TYe6rapWOcr2zGqGSeCmSBrT+OlwSDcIe0EWkd9bCWYughwPb40SiMzgZUAFTGP2RnrsjdV2jAZ5IPXykHAMhb1diy7wrmje6+zZ6aOZaFQ0kQYPz8Z6/IseI/h+yu0QOADo0e50rlOFcqx7cFlzF9TG8szhvi0Hs7SqszL1txRbPdyXNxuQKfbz+PvEn9qAmNeB0lQsRv5J/kv5/Imq9Pol3N8nIBtvbHMVTfgXHy0xjVXAQRa/sP4/6Y61Eou86p9yfut/XAFUwe2Qeb8y853DzrKHuToK70BhbbDpSisr4Nj+Rdb7HWxdU+PBqtHu9sPu3STUX+8SoUWPhNn7liTOYCvQmN+A5KhIjfKCnjv1bkXJmCu4t19QK8/tfzZn8cJQYtblCcxRj5WYSwWruOMbTlAvbHDoGeoYu/L9p6oAzf7i33djHscvpiIz7ffh4LbrmWWNuqsXTk+7/+1/Mu166ygNUbG72Bxe7jVahpVAZsExrxHZQIEb/hiU6zzl6AOzfbCQ16jGwuxnj5KYQZzPsGqBkRQlgdt1wc3hsAkN1eBgCI0isxRn4W+2Pd26xBgsPu41UQCQQIkQhxuaq5x87n9nz/Td91gQe6kJma0Donc4TwjeYaI35DKvHcXaHpAmyv/JPVYPV6DGsuwZKyzZjWeMQsCVIJJNgZNxJi9tofoZ/jx2BzUi42J+Xil/gbuPU5Tcf5+RCEANheWIGtB0pxrkxh982Ere+/O5qobSk4WY3mdv4fECDEhGqEiN/I6h3j9k7DnRWcrEbepH499plgDQa0HTqAB8v2IlZr/pSOhhHhsGwgDskGQy2U4HhUFu6q3o6dcaNQGZrI7XdUNhA1IXGY0ngUG5OnueXzEOIIa99/dzRR26I3sNhzogqzJmR49H1J8KAaIeI3bhyaDKEn6uOvMl2ArWFZFm0nj6PslRcx6vRPZkmQDgIcjh6I9/rciT1xI6AWGv+YqIUSrE271SwJMqkMTcTatFu5fQnxJmvff2+M61Ts4eSLBBeqESJ+IzoiBBOHJLs0jpCjisvk3e5Em9s1OLxtHyL2bkNss/nj/AYwOBXZH3tjh6JFHOGxchLiDpa+/55sojbxRvLlj2hEb+dQIkT8yvzpmahtUrr90WWTzhdgjVaPbzfuQeSBX9BPWdlt36LwPsiPG44mSbRHykaIu1lKQDzdRA0YB5ok1vH1NGCwokQoAAkEDOLjE82WA4VELMSTdw/D59vPWxyDpCcsC5Q3CcyWbTHd/baXV+LgO59gWP2FbvtcCkvB7tgRqJXGOVQWX+JoXIJFsMfFUu3PjUOT8V3BZbAs67HYNLWq0dyucapWw9O1JJ2vvxKJCAKBe3ug2DO4Jw1HYBtNseFDaNJVxzS3a7DnRBUu1bSiXaVFg1wJRbvG4gWZYZy7UN89MhbDq46iuaAADMwPUCFNwO64ESgPTXLyExDi2+bc2M9iJ2VXp7pxhqPzlPEx2a09bCVanpjqxNFzkTs8JeCGI6C5xgJIoCVCnroT6zzBpCk5Ku7ynsMGxGPlfw/bXYMUplNhguI0RreeB/Q6s221khjkx43AxbBUY4ZFSAASChi8sXSixd+qs5Mf88GeecocKZ+z857Zk2iZpjppdtN1vblNjWXv7HOoZtzWefVXlAgFkEBJhDx1J2Zi70zb9tw5heg1GKM4gxsU5yBhzROgJnEk9sQOx7mIDEqASMCzVHPQ+eZGqdZB0aq2Wgvr6bJ15u5aEkcSrev7x1md6sRVW/Zdweb8Sw6/zlpNn7+iSVeJT/Hl9uq5uf1wuKjW4hxOIoMOI5uLMF5+GqEG88HbVCHh2BU1BKeiBsDA0IgTJPBlp8swf3omt9zTzQ3DALKIEMgiJAgLESG7dwy2Hih129Netsb4cmZyZnvHDDPpOp2OLZamOuGLs2M6WXoaMJhRIhSADAYDGhvrueW4uAS3d9gzceQC4anh8013sbsKK9Ch0SE95trEp1VyYEjzBUxsOolIvcrsdVpJKFLyZuPVIikalY7NIu5vGIZFmuzaZ6xQCMCyVOsVbHHpXFt7saoFn2w9h4bmDiv97rrGpgOJslA8+puhkIiF+PFgqdvKaWuQRWdGvnZk0MaeEi1L3xlHEy17OZto0nAE5igRCkB6vR6nTxdyyzk50z2SCHniTswRlu5ixUJgcta1Jq/Qr7chVmWeuKkZEQ7LBuFo7GC8OnEKWk7u471svkYkMI/LhiMSaOlaGVRxmTmuD2bckA69Xo8n/l1gsea0M0ux6XxzExkqgUqtsnEE11ir1XB3LUlPiZbl74x7Rsd2dkwnb4wF5cuonp/wxpU7Mb6ZmujyT1SZl6nLra1M1879W8cIcEg2CO9lzEFB3HCoGDH2nKgCdaMjgW7i9UmYO7k/9Ho9nn53f49JkC2mucFGX5fAYwm7s1ar4e5aElcSLb5l9Y5x6nXZTr4uUFEiRHjjSxcIS010vZU1mFf1a7d9DWBwPCoT7/e5EzviR0MllJqVzZPTehDiDaaxxv7yn0NwdT5VvYHFh1vOYOwg9w4rYa1Ww921JL7UHOXMtENCAYNJw1J4L4s/o6YxwhtfuUB0baJL6mhAbuMx9FVVwyAWo3PjXVF4b+yJGgK5JMpq2QJpQEpCLNl7qhpqjd6lmqDOzl6R48WPD/FyLGus1Wo4O/J1nUKFR/+ZD52ehUjIoE9SJOZNy0RagvlUOb7UHOXMtEM5Q5MD6tF5PlCNEOGNr1wgTE10cRoF7qzehd9VbEVfleW+Sz/2mmA1CbpWNkqESGAzsMChojpvF8Nutmo1nJ2cuV7RgfYOHdRaPdo7dDh7RY4V/zmE5R8egLJDy+3na81R86dnIjtdZl8ZujwNSIwoESK88ZULRHlxKW6r3YtFZVuQ3V5mtq1S6li/hezeMdRHiBAfY6tWw1RLwpfqRiX+/O4+tCmNw2r4WnOUadqh3OEpVsslFDDIHZ6Cp+4ZRnONWUBNY4Q3pjmIHOkwLWCMzU//t+GYy6NP65oVaPphC6bu2wkBa/64e01ILHbHjkBFZDLmQWvlCOYYAJOGpbj1MWBCiGOkEiHq5Cp8v++K1esE35Mzq9R6/G1dIVb9YZxPNkdJxEIsuOU65E3qZ3FkfZp93jZKhAhvnLlAsAC2HjBPNBydLVnX1obKzd+i8rvvwWo0ZtWcjeIo5MeNQHF4b4BhIGbsT9JYAL8cLke4VMxb3wlCiGs6NHqcK5XjXKn164SrkzNbUt2oREV9G9ISIhxKtAb1jfVYc1R0uASzJmTQYIkOokSI8MrROzFrrU72jD5tUKuh2P4LLm77Efr2drNtzaIw7I0dhlOR/cG6MBr01gOl1EOIEB9l6zphq5akTqFCvaLD4ffbsP08ls0b4VCi9ewDN0Cl1FndTryPEiHCK3suEAwAe+/PLI0+zep0aM7fhcbvv4O+pcVsf2FkJMKm34o3T0mg4akLHPUQIsS3FZcr8NwHBzBlRGq3ZiBLtSSP/jPfqfcprbk2n6G1RCs8hAFQZ7afCpQI+TJKhAjvbN2J9UmKxLZD5Q5VVZtGn44KFaFl/z40bvkGuoYGs32EYWGQ3XQLYqbfBIFUinECxyZdJIT4N3mrGl/nX7KrWV2nd+72xtLruiZaWq0WBQXdxysjvosSoQAkFAoxfPgYs2VvsHQntmXfFcdHn9YbcOzbX5FxrgCaavPkhhGLkXL7bUidk4fONd3Wmuh0euDns2KzZUJxsYbiYp2vxsaeZnWRkIHavmcmur2uJ52vvzJZGEQiEQC1429GPIYSoQAkEAgQExPn7WJY5NDo0yyLDFU1chuPIfliI8zmhBcKET0pF3GzbkdyZm/jug7zamtLTXQsGNS2Uq+frigullFcrPP12Jia1fMm9UP+iSqUdKqZDpOK0N7heHNVn6TIHvfpfP1NSOh5f+J9lAgRj7J3FOmUjnrkNh5DH1WN+QaGQeTYcYi7405IEhNtHqNzE90vh8uw9UCZzf0JIYEl/3gVb0+NAcC8aTQYYSAKiETo8uXLWLNmDY4ePYrGxkYkJSXh1ltvxZIlSxAWFubQsWpra/HOO+9g3759qKmpQXx8PKZOnYqlS5ciNjbWTZ8gePQ0inSCWo4bm44hs72i27bw4SMQnzcHIWnpDr1ndLgEM0an48eDZVafUiOEBB4W4C0JSo4L6zbdhjXN7Rrkn6jC5ZpWqNQ6iBjQeD4+jGH9fNjckydPYsGCBVAqlRg6dCiSk5NRWFiI+vp6ZGdnY/369YiIsO/LW15ejnvvvRf19fXIyspC3759cfbsWZSXlyMpKQlffPEFkpLcN5GgVquHQqF02/G9gTUYoCopBgCEZmXj+wNl2Jx/qdt+Mm0rchqPY3Db5W6Pq5eGJoGZdhum500yW2/pYmOsumZQWtNiNqBYh0bfbbwiQgixR2iIEP94aALCpGKb+2m0eqz/9Tz2nrJcCyUUMHaPj8YH0zWyJMAHWJTJwiC20BfMXn6dCOl0Otxyyy0oLy/HqlWrMHfuXABAR0cHnnzySezYsQP33XcfVqxYYdfx7rvvPhw5cgRLly7FY489BgDQ6/VYuXIlNmzYgMmTJ+P999932+fhKxHS6XQ4deootzxkyKirHfY8r+PyJZStWgkA6P3Ci1DHp2DZO/u4i0SETokJTScxrOU8hF0eVK8KicPuuBGoCE/BG4/kcD/cni42togELKZkX+slubNYDJ3Bd/s5eArFxTKKi3VdY7PnggR6A6AzWB8fzB8lx4Vh+W9H2ZUEvfXlCVyslPf4nclOl1ntyM0HX0vI3M3VRMivm8Z++OEHlJeXY/z48VwSBABSqRSvvvoqpk6dii+//BKPP/44oqOjbR7ryJEjOHLkCDIyMvDII49w64VCIV544QXk5+dj165duHDhAgYMGOC2z8QHlmWhUDSZLXuL8mptEAAoi4sQm9EXE4ck41DhJYyTn8Go5iKIWfN+Q/WSaOyJHYGS8HSAYZDb6e7FdLFxduh8hgGSolizZUJxsYbiYl3X2OgNLLR6/w1QgkwKZYeux9nnrVn/63kUlysgFvb8nbE0PhpfNFo9/u+L4zhf0Wx1H9OTddUN7XjqnuFuS8j8hV8nQjt27AAAzJgxo9u2mJgYjB07Fjt37sSePXswa9Ysu441bdo0CATmA/GJxWJMnToVa9euxfbt230+EfIWlmXBasye7YKq6JzZv3XjJuBW5WncULoNYoP586sKUQQKYofhTGRfbjTorrMlmy42hBDCp0RZKP40b4RTr21uU2PvqWqHXmMaH43vJqq1P5fYTII6K6loxrpfSrBw5kBey+Bv/DoRKikpAQBkZ2db3D5gwADs3LkTRUVFPSZCpmNlZWVZPRYAFBUVOVvcgKepKEfpy9abIdtPncSlPz0OAOhcydwmlGJfzFAcj86EgTHemViqunXmYkMIIfZoc+JxepN8J55M0xtY7DlRZde8YPb29WluU2PvaQcTslPVmJPbP6D6DDnKrxOhujrjMOa9evWyuD3x6uPVpv08daxg1YYBf+cAAB9ESURBVHb8mMOvkWQNRPXYO6GubkffHjrzOXOxIYQQe6hcSIQcGh+tk+Iyuc1EyFZfH0uTU/9ypNzh/lksa5xceu7k/k58gsDg14mQUmnsWCyVSi1uN6037WfPsUJDQ10+lrPEYiEvA3BpujRPxcdHQCJxf7Yfc/edQF0VGvcftG//G0Yj64nHcENEuF37X+40zw8hhPBJKGScvv7qnLw/07HWB11Ua/V46cP9OH2x0errTX19GlvVeOkP43HsfIPVfW05dr4BD9013KnXBgJ+ZqX0EtPUEUwPPRjt6SzM57GClSgiHNnP/Bl9/7AIjI1pPRihEP0WL8LA5c9CZGcSBAAqNU1cSAhxj7BQ20+F2SIWOven1NbrPvzmlM0kqLPTFxvx4Ten0Nyu6XlnC5rbg3sKEL+uEQoPD4dCoYBKpbK4vaPDOPmUtVqerscCwMuxnMXX4/NarXkn5IaGNojFzv/IHSUeOwkx1fVo+v47i9tjZs6CaMwkNDS0OXRckf8+kEII8XFSkQD19c7VOhsMBqdfZ+k9m9vU+PWQYyPh/3qoDGKRcwkZy7JOf3ZfENSPzycmJkKhUKC+vh7p6d1HGzb150nsYSoG0z5nzpxBfX29xe2OHCvYGbQaNBfkW93eUpCP2JmzIHAwOcvqHYMzV5xriyeEEFuye8f0uI+1Tsv2Th3UlV5vOYFytvO1VODc3WKkC7VhgcCvm8ZMT4tduHDB4nbTemtPlbnrWMFOvu0n6BXXHnGPGDkKESNHccs6uRzyn39y+Lg3Dk2G0MkfOiGEWCMUMJg0LMXqdo1Wj//+WIRla/Zic/4lnLkix8WqFpy5IsfX+ZdwqarFqffV6S0nO852vu5pCiNrRl8X3Df4fp0I5ebmAgC2bdvWbZtcLsfBgwchFosxceJEu4/1yy+/dKvm1Gq12L59OwBgypQprhY74DV+9w3374T59yP5oUeQ/NAjSLj3Pov72Cs6IgQThyTzUkZCCDHJGZps9fFx0yCu+SeqeH9q1Vri4mwNU0SouNsURT1hAMy4obdT7xco/DoRmjFjBlJSUlBQUIB169Zx6zs6OrB8+XIolUrMnTsX8fHx3DatVouLFy/i4sWLZn1pRo4ciSFDhuDixYt48803uU7Rer0eq1atQnV1NW688UYMHOj7A08xDIOIiEjuv546gPOt/z9XQ9p/ANKfWY6YqdPBMAwYhkHMtBlIf2Y5pP0HoP9b/3bq2POnZyI7XeZ02VgWaGpnuP+o77sRxcUyiot13opNaIh9tR727td10NauHB3E1ZG4WGuOc7ZmJyJUjAkO3izaSgKDhV/PNQYABw8exOLFi9HR0YHBgwcjLS0Nx44dQ11dHQYNGoTPPvvMbNLViooKTJs2DQCwfft2pKWlcdvOnz+P+++/HwqFAv369UNmZibOnTuHsrIypKam4vPPP7c6zhAfAnHSVXfQaPX4fPt5FNC4QoQEDdMgq3Nz++Gr3Zes/v4d3c/WfFvNbWqzuRH5/jxvLJ1oMQnZsu+KxcmpezLnxn646YZ0/N+G4zhf2fPo0plp0Vg2b7jfzzcW1JOumpSUlGD16tU4dOgQlEol0tLScPPNN2PRokXdZp63lQgBQGVlJVavXo09e/agubkZSUlJyM3NxR//+EezmiV3oETIMc3tGuw5UYVLdsw+f/pyE0poag5C/NKgjBj84fbB5qMoX/39F/c02rKd+1nibEJij9zhKVbnGnMmAeucWJluFvecqIKlQwgYYNKwFJp09aqASIQCBSVCzjENSGbr8U93XtAIIe41OCPG6XnAXPF/G4655UnV7HQZnrpnmM0k5L8/FiH/RJXdx7SUWLmSBPqToH58nhB73Tg0Gd8VXKamNEL8UHWjEs3tGo//8Xa207I19jTHmcyfnonaJqVd/ZOs9XOKDpdg1oQMu+YzC2aUCAUglmXR1natdsQbHaZ9jemJsz0nKiELu5YMKZQMWIefswg8DFiKiwUUF+s8GZumVjWWrdlrdxLBF2c6LTNgMbxvOPqnylDR2A65koGIYRyuiZGIhXjy7mE2+0M6klgR6ygRCkA6nQ5HjuzllnNypnt0ZGkTe2dM9pT50zNR19SKG1Kuzcez4YgEWn5v+vySSAjMGnLtKUqKixHFxTpPx8Y0r1ZNoxJP3j0MEheaQuzR3K6BM/XHIiFwfaIc0MqRGQXkPZCH5mbnprCQiIVYcMt1yJvULyiauLyFEiHCO0dnTPYoahkjxK8Vlyvw3AcHMGVEqlsSAVvXL3s4MuirvTeL1MTlXpQIEV6ZBh+z1a7tjTu7/BNV2FVYgTaVGjekuvXtCCFuJm9V4+v8S7zfVNlz/erJuMG9ANieJ8ynbxaDkF8PqEh8jyODjxWXK/D59vNuK0vXYfHlbc7NzEwI8U2mm6o3vzgBDQ/tco4OnthVdroMd03ub3Mfe0aq5vtzEdsoESK8aW5TY++paodeU3CyGs3t/Cco7hwWnxDiW/i4qXLm+mUiFDDIHZ6Cp+4ZBpHQdg2OL90sEiNKhAhvnJ0xeY8DY2XYy9U7O0KIf3H1psqZ6xdgHOzxjaUTseCW63psxvKlm0VyDSVChDfOzph85nIjr+Vw5c6OEOKfXL2pcvb6xQB2d9j2pZtFcg0lQoQ3zg4+VlzejP/9VAStjp+2cGfv7Agh/q3YyWQGcP765cjrnE22XPlcpGeUCBHeODtjMgBeOwY6e7EhhPg3V0aCdvb65cjrPJFsEcfR4/OEN1m9Y1yal8fUMdDaRIT2oosGIcHJnqTE2tg9fZKinLp+ZfeO4bV8fL6O2IcSIcIbPubzKjhZjbxJ/VwaJI0uGoQEJ1tJSU9j9wgYgGEAR6YhFwoYTBqWYvf+zt4sOpJsEcdRIhSAhEIhrrtuiNmyJ5jm83JkxuSuTB0DXRlB1dbFRm8A9l4UmS0Tios1FBfrfC02tpISewZKdOb+LWdocrebts7X38hIqdn115mbRUeTLeI4SoQCkEAgQHJymkff01TdXC9XQioRutQ8VVwmdykRsnWxMbAMLjVQjVFXFBfLKC7W+VpsLCUlJu4YTsPajO+dr78JCZFm26IjQjBucJJDT7WOvz6J5hNzM0qEAoynJzp1dV4eS1zt48NHzRQhxH9YS0oA54bTYAAIBIxbZny3fyYy5/YnjqNEKEB4Y+4aPublsYSPPj7zp2eitklJgyoSEgCs9d2xJylxZjgNFsDNY9IhlYh4nfG9uU2N/WdqHHrNvtM1mJPbn2qF3IgSoQDgrYlO3TV6Mx8dAyViIZ68exg+334eBTSuECF+LSstGoP7xjmVlJy53OTUe5bWtOJP80bwOuO7KwMq0szz7kOJUADompAIBSzGZui45YNXRNAbjBWsfD2i7q7Rm/nuGMiyANvpVtJWbIIZxcUyiot1noyNTs9i1oQMh5IBUy15iZM3a8420ev1epSUnAEAXL4sxsiRI7ltrgyoSImQ+1Ai5OcsJSQCBuifcO0RjsOlQOefNB+PqLtr9GZbHR4dYa2WrKfYBCuKi2UUF+tsxcbRx9B74mhzOR/N9s420RsMBtTUVHLLw4cP5/5NAyr6JhpZ2s95a+4ad4zebKvDo6No0lVCvOfl349BoiyUt+M52lzOx+/fHWP30ICKvokSIT/nrblr+LxDEQoY5A5PwVP3DOOlIzdNukqI9zAMEBkmwcShybwcz9Hmcj5+/+4auyfLyeSKBlR0L2oa83Peqmp19g4lUSZFgizUrY/206SrhHgPywJ7TlTxMtI84HhzOR+/f76a6LuiARV9EyVCfs5bVa3ODhWfMzTF7Z3+aNJVQrzL1LnX1fG8nGkud/X3z2cTfVfOjHHmrqSMXENNY37OW1WtNw5NhlDg2BMinrqzoY6FhHiX6Tc4f3omstNlDr/eleZyV37/fDbRW+NITNyZlJFrKBHyc95KSEx3No7w1J0NdSwkxLtMv0HTeF65w1OsXqcYBoiJDEHf5EgMzojBnBv74Y2lE7HgluucSkic/f1np0c7/Z6OsCcmfPebJLZR05if82ZVqyOjN3vyzsbZZrtAkJ0ejUvVrdDqaHZQ4j2da5wlYiEW3HId8ib1w54TVbyO1GyJs7//wX3jeCtDTzwdE2IbJUIBwFsJiT2jN7s6L48z+Oqk6Y8G941DakIEdhRW9rwzIW5grcY5Olzi8KCIzvCnDsmeigmxjRKhANA1ITHOlGPOXQmJL97ZBOukq9zFnGUpESJe4+3OvdQhmTiKEqEAYZaQHC+HruM8t+32CRmYNDzdrT90X7uzsVVLptGZL2emRiMpLgz7Ttd4vRZJIDBNC+L4aztfzMcNTsIBByd37BoXPgkYY3rO52jDnuJIXEJDhFCp+eusHyoRQuXDnf+7xsZXOvd6s9meYQCRSHT13zQdiz9gWNYfL02BSavVQ6FQersYfichIRIAUF/farZeo9U71GzX3K7harWUah0UrWoo2jV2//FmGEAWEQJZhARhISJk947ByOx4rPr0qF1/HENDhPjHQxOg1RtH/j53pQmXa1rtegomO11m1rFSo9XjH58fw8WqFvsK70ahEiH+8fC1z1VcJkdbhxbVDUpo/Kgvk0jAQM+yNmdBn5vbD1/tvuTyRL98H49hjDcrHRq9Xd+n6HAJ2lRau9/TG03gPXH09+8O1q5NhF8yWRjELkwkTomQD6FEyDk9XWw6JziONttZem2fpEgADEprWuw6XptSg7+tK0R1o/VzmxwXhuW/HYUwqdhsvSsXc9Nr849XWWgsNYqJDEFUuBgtbRrI2zQW92EAyCKvJXhJsWEor29HeW0LVBrbiYy1z2VSUd+GDdvPo7SmFTo9C5GQQa/YUDBgUNOkhEarh85gOfnwlM4xVqr1dn2XOn9vWlQaVNa1w1ZOIWAYpCdGICJU1OPxbH0PTeuqmpRQqXUQMTA7niPfJ0uf1dHvvi9w5ffvKkqEPIMSoQBCiZBz/OViY+mPfp+kSMyblom0hAibr+U7mbP3j60972H6XOV1bdDqDBAK7P9c9rIUu9SEcKQnRqKmsd2u5MCZdXz+wSwqk+OTrefQ2KIGy7JgGAZxUSFYOHMgruN5CgV33hwQ+/nLtcnfUSIUQCgRcg5dbHwDnQffQefCN9B58AxXEyHqLB2AWJaFTnetF6NIJKJOe1dRbCyjuFhGcbGOYmNZ57hoNBqIxZabhYnvoEQoAOl0OhQU/Mot5+RMpx/jVRQbyygullFcrKPYWNY1Lnl5eV4sDbEHTbFBCCGEkKBFiRAhhBBCghYlQoQQQggJWpQIEUIIISRoUSJECCGEkKBFiRAhhBBCghYlQoQQQggJWpQIEUIIISRoUSJECCGEkKBFc435EOPQ7LZn87b3OG1tLdxyRERUQA99b5pjRqvV97hvsMXGXnzExZHz4C/89fviiXPhr7Fxt65xkclk0Ovpz6w7iUQCl757lAgRQgghJGhR0xghhBBCghYlQoQQQggJWpQIEUIIISRoUSJECCGEkKBFiRAhhBBCghYlQoQQQggJWpQIEUIIISRoUSJECCGEkKBFiRAhhBBCghYlQoQQQggJWpQIEUIIISRoUSJECCGEkKBFiRAhhBBCghYlQoQQQggJWpQIEUIIISRoUSJECCGEkKBFiRAhhBBCghYlQoQQQggJWpQIEUIIISRoUSJEfN7u3buxcOFCjB49Gtdffz2mTZuGV155BQ0NDRb337dvHxYuXIjx48djxIgR+M1vfoONGzeCZVkPl9z/XblyBcOHD8fKlSut7uNovHU6Hb744gvMmTMHI0eOxJgxY7Bo0SIcPHjQXR/D7/V0HlQqFd555x3Mnj0bw4cPx9ChQ3HrrbfijTfegEKhsPgaOg+Os+f30FlbWxumT5+O7OxsVFRUWNyHzoP3USJEfNonn3yCxYsXY//+/cjMzERubi40Gg3Wrl2LvLw8lJWVme3/+eefY+HChTh8+DAGDRqEsWPH4uLFi3jhhRfw/PPPe+lT+KeGhgY8/PDDUKlUVvdxNN4sy+KZZ57BihUrUFFRgQkTJiArKwv79u3DggULsGnTJnd+JL/U03lQKBS4++678a9//QuVlZUYMWIExowZg6amJnz44YeYM2cOampqzF5D58Fx9vweunrppZdQXl5udTudBx/BEuKjKioq2MGDB7PXX389e+DAAW69Wq1mH3/8cTYrK4tdvHgxt/7SpUvswIED2ZEjR7Jnzpzh1ldWVrLTp09ns7Ky2B9//NGjn8FfnT17lp0xYwablZXFZmVlsS+//HK3fZyJ98aNG9msrCx29uzZrFwu59bv27ePHTJkCDtkyBC2qqrKfR/Mz9hzHp5//nk2KyuLvf/++9nGxkZufXNzM7to0SI2KyuLffDBB81eQ+fBMfach66+/fZbbv+srCy2vLy82z50HnwD1QgRn7V//35otVpMnDgRY8eO5dZLJBI88cQTAGBWffzRRx9Br9dj0aJFGDRoELc+JSUFK1as4PYh1jU3N+Mf//gH7r77bpSWliItLc3qvs7E+/333wcAvPDCC5DJZNz68ePHY8GCBVCr1fjss8/4/Eh+yd7z0NHRge+//x4A8NprryE2NpbbFhUVhddffx0Mw2DPnj2Qy+XcNjoP9nHk99BZeXk5Xn75ZQwePBhhYWFW96Pz4BsoESI+SygUAgDq6uq6bTP1D4qJieHW7dy5EwBw0003ddt/woQJiIyMxKlTp1BbW+uO4gaETz/9FB999BFiY2Px7rvvIi8vz+q+jsb7woULKCsrQ1xcHEaNGtXtNTfffDMAYPv27Xx8FL9m73lobGzE4MGDMXLkSKSmpnbbHhcXh+joaLAsy/2O6DzYz5Hfg4lOp8OyZcug1+vxxhtvcNexrug8+A5KhIjPGj9+PMRiMc6cOYMXX3wRlZWVUKlU2L9/P5577jkAwOLFiwEYE6PGxkaIxWL069ev27GEQiG3vri42HMfws8kJSXhmWeewbZt2zB16lSr+zkT75KSEgBAZmYmGIbp9hrT+rKyMof6YQQie89Damoq1q9fj88//9zi9tLSUigUCggEAvTq1QsAnQdH2HseOlu9ejWOHz+OZ5991uJvw4TOg+8QebsAhFiTlJSEt956C8uXL8eGDRuwYcMGbltMTAxWr16NGTNmALhWaxQfHw+BwHJ+n5iYaLYv6e6uu+6yaz9n4m36v+kPclchISGIiopCc3MzGhoakJ6e7lDZA4m956Enb7zxBgBjDZ2p6YXOg/0cPQ9HjhzBBx98gClTpmDevHk296Xz4DuoRoj4tEGDBuGmm26CSCTCiBEjMGXKFCQmJkIul+ODDz7gnshQKpUAAKlUavVYISEhZvsS5zkT7/b2drtfY9qXOO+9997Dzz//DKlUiqeffppbT+fBPVpaWvDnP/8ZMTExePXVV3vcn86D76AaIeKzzp07h4ULFyIkJAQbN27kOuRqtVq8+eab+Pjjj/Hb3/4WW7du5WolLFUxd8XSeEIucybepr4S9ryGuObtt9/GmjVrIBAI8OqrryI7O5vbRufBPf7yl7+gqqoKH3zwgVmndWvoPPgOqhEiPuuvf/0r5HI5/vKXv5g9lSQWi/H0009j1KhRqK6uxldffYXw8HAAxqdorFGr1QBg8ykOYh9n4u3Ia0JDQ3kpZ7DRaDR4+umnsWbNGohEIrz++uu47bbbzPah88C/r776Cj/99BPuv/9+5Obm2vUaOg++g2qEiE9Sq9UoLCwEwzCYOHFit+0MwyA3NxdHjx7F6dOncccddwAwduJlWdbiXZapTd7Ud4U4z9SvwZF4m15TX19v8ZhqtRotLS1gGAYJCQnuKHZAa2xsxNKlS3Hs2DFERETgX//6F3JycrrtR+eBf6tWrQJg/M4vW7bMbJsp0fnb3/6G0NBQzJs3D6NHj6bz4EMoESI+qaWlBQaDAQKBwOrjp6b1Op0OMpkMvXr1Qm1tLUpLS5GRkWG2r16vx6VLlwDArJmAOMeZeJv+///t3X9MTf8Dx/HXvQmjlFK0kojEDDVEf1gTs9n8pi0Us6GRMWP+YVkZbcaGzI+Z7uIPmbUwG9WUJvRjy482pQ1Z148Ys4qo3b5/NHd8Cbk33U/n+djazrrv+36fc967Z6+9z/u8T21t7U/rrK2tVXt7u4KDgxm166Lnz59rzZo1slqtCgoK0okTJzRmzJiflqUfnO/rPLi8vLxOyxQUFEjqmLg+ZcoU+sGFcGsMLsnX11fe3t6y2WwqKir6aZmSkhJJ0rhx4yTJPiT9s4tRSUmJGhsbFR4ermHDhnXPThtMV8/3iBEjFBISooaGBt27d++H71y7dk2SFBMT03073Qu9fv1aiYmJslqtmjhxoi5cuNBpCJLoh+5QU1PT6Z+np6ekjvWAampqtGTJEkn0gyshCMElmc1mxcfHS+oYdv665oYk2Ww2ZWRk6Pbt2xo0aJCWLl0qSVq5cqXc3Nx08uTJ7y4sL168UFpamiRpw4YN//Aoere/Od+JiYmSOiaWfvvS3Dt37igrK0vu7u5au3btP9j73mPHjh16+fKlxo4dK4vFIl9f399+h35wDfSDa+DWGFzWpk2bVF1drcLCQi1cuFCRkZHy8vJSdXW1rFarBgwYoMOHD9uf0AgPD9fWrVt18OBBrVixQtOmTVP//v1VWlqqjx8/avny5Zo3b14PH1Xv8TfnOz4+XsXFxSoqKtLcuXMVFRWlxsZGVVRUqL29Xenp6QoICOihI/rvKSkpsb9mxtPTUykpKZ2W3bJli30tGvrBNdAProEgBJfl7u6u48ePKycnRzk5Oaqurtbnz5/l7++vuLg4rVu3TsHBwd99Z/369QoNDZXFYtGDBw9kMpkUGhqq+Ph4LV68uIeOpPfq6vk2m83KyMjQuXPnlJOTo1u3bsnDw0PR0dHasGGDpk2b1gNH8d/19TUnUsdifr+yevVqexCiH1wD/eAaTO0sqgIAAAyKOUIAAMCwCEIAAMCwCEIAAMCwCEIAAMCwCEIAAMCwCEIAAMCwCEIAAMCwCEIAAMCwCEIAAMCwCEIAAMCwCEIAAMCweOkqgF6jvr5esbGxnX7u7u4uDw8PhYSEKCYmRqtWrZKHh4ckKSEhQWVlZV1uc//+/VqyZMl3/6uoqFBubq7Ky8vV0NCg9vZ2+fj4aPz48YqNjdX8+fPVpw+XX8AV8EsE0CuFhYXZQ85Xra2tevfunSorK1VZWans7GxZLBaNGDFCYWFhamtr+6GeqqoqffnyRQEBAQoICPjhc19fX/u2zWbT7t27dfHiRUmSt7e3Ro4cKTc3N718+VL5+fnKz8/X6dOndfLkSQUFBTn5qAF0FW+fB9BrfDsilJWVpaioqJ+WKy0t1caNG9XU1KSIiAidP3++0zpnzZolq9Wq5ORkbd68+ZftHzlyRMeOHZOfn58OHDig6dOny2Qy2T+/d++edu7cqWfPnikkJERXrlxR3759/+JIATgLc4QAGE5UVJS2bdsmSaqsrFRVVZXDdX769EkWi0WStG/fPs2YMeO7ECRJkydP1vHjx9WvXz89e/ZMly5dcrhdAI4hCAEwpDlz5ti379+/73B9T58+VXNzsyRp0qRJnZYbNWqUpk6dKkl68OCBw+0CcAxzhAAYkqenp337a4BxhLu7u327sLBQixYt6rRsamqqWlpa5O/v73C7ABxDEAJgSHV1dfbtYcOGOVzfqFGjFBgYKKvVql27dqmqqkoLFy7UhAkTfrhFFhgY6HB7AJyDW2MADCkzM1NSx0hOdHS0w/W5ublpz5496tOnj1pbW3X27FktW7ZMM2bM0ObNm2WxWFRdXe1wOwCcixEhAIbR0tKiJ0+eKDs7W7m5uZKkNWvWaMiQIU6pf+bMmTp79qxSUlL0+PFjSdL79++Vl5envLw8SR2jQQkJCUpISGAtIcAF8CsE0CslJib+tszy5cu1ZcsWp7YbGRmpy5cvq7KyUgUFBbp7964ePXokm80mSbJarUpPT9fVq1eVmZn53VwlAP8eQQhAr/T/CyqaTCb169dP3t7eGjt2rGbPnq3Ro0d3S9smk0mRkZGKjIyUJDU2Nqq8vFzFxcW6cuWKmpqa9PDhQ6WkpOjQoUPdsg8A/gwLKgLoNf50QcWu6MqCin/iw4cPSk5OVllZmcxms0pKSuTj4+NwvQD+DpOlAcAJkpKSFBsba5971BkvLy+lpqZK6nglx7dPrwH49whCAOAETU1Nqq+v140bN35b1s/Pz77NaBDQswhCAOAECxYskCTl5+frzp07vyx79epVSR1rDw0fPrzb9w1A5whCAOAEixYtUkREhGw2m5KSkpSRkaE3b958V6apqUlnzpxRWlqazGazdu7cKbOZyzDQk3hqDACcoG/fvjp16pS2b9+umzdv6ujRo8rIyFBQUJAGDx6s5uZm1dXVqa2tTQMGDNDevXsVExPT07sNGB5BCACcZNCgQTp16pTu3r2r69evq6KiQm/fvtWrV680cOBAhYeHKyYmRnFxcRo6dGhP7y4A8fg8AAAwMG5OAwAAwyIIAQAAwyIIAQAAwyIIAQAAwyIIAQAAwyIIAQAAwyIIAQAAwyIIAQAAwyIIAQAAwyIIAQAAwyIIAQAAwyIIAQAAwyIIAQAAwyIIAQAAwyIIAQAAwyIIAQAAwyIIAQAAwyIIAQAAwyIIAQAAw/ofDC1JTb75RuUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df_filtered['PTS'], jittered_win_data, 'o')\n",
    "plt.plot(win_rates_by_bin, 'r')\n",
    "plt.plot(win_rates_by_bin, 'r*')\n",
    "plt.xlabel('PTS')\n",
    "plt.ylabel('WON')\n",
    "for x in bins.unique():\n",
    "    plt.axvline(x.left, color='darkgrey', linestyle='dashed')\n",
    "plt.legend(['data', 'win chane'])\n",
    "plt.savefig('WON_vs_PTS_binned_annotated.png', dpi=300, bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Logistic Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In linear regression, we make predictions that look like:\n",
    "\n",
    "$y = \\sum_{j=1}^d \\theta_j \\phi_j$\n",
    "\n",
    "In the example earlier, we had two features, a y-intercept and a slope, i.e. $\\text{WON} = \\theta_0 + \\theta_1 \\times \\text{PTS}$.\n",
    "\n",
    "In logistic regression, rather than fitting a line, we fit a \"logistic curve\", which models the binned probability prediction curve above. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A logistic curve is an s-shaped curve that starts at 0 and ends at 1, and is given by the equation $\\sigma(y) = 1 / (1 + e^{-y})$, where y is some arbitrary independent variable. We omit the derivation of this equation in this lecture. See [http://www.win-vector.com/blog/2011/09/the-simpler-derivation-of-logistic-regression/](http://www.win-vector.com/blog/2011/09/the-simpler-derivation-of-logistic-regression/) if you're curious.\n",
    "\n",
    "As a specific example, if we're trying to predict the win rate from points, our model will output $1 / \\left(1 + e^{-(\\theta_0 + \\theta_1 \\times \\text{PTS})}\\right)$. Note that in this case $y$ is just the prediction made by a linear regression model.\n",
    "\n",
    "That is, we can think of the logistic regression model as a non-linear transformation of our linear regression model, i.e. the straight line is bent into an s-shaped curve.\n",
    "\n",
    "The resulting $\\theta$ values will be quite different. Whereas for our linear regression, we found that $\\theta_0 = -1.53$ and $\\theta_1 = 0.018$ approximated our data, that is $WON = -1.53 + 0.018 \\times PTS$.\n",
    "\n",
    "For our logistic regression, $\\theta_0 = -11$, $\\theta_1 = 0.1$ works quite nicely for our data. That is $1 / \\left(1 + e^{11 - 0.1 \\times \\text{PTS})}\\right)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'WON')"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predictions = 1 / (1 + np.exp(11 - 0.1 * df_filtered['PTS']))\n",
    "plt.plot(df_filtered['PTS'], jittered_win_data, 'o')\n",
    "plt.plot(df_filtered['PTS'], predictions)\n",
    "plt.xlabel('PTS')\n",
    "plt.ylabel('WON')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compare with our binned probability prediction earlier."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predictions = 1 / (1 + np.exp(11 - 0.1 * df_filtered['PTS']))\n",
    "plt.plot(df_filtered['PTS'], jittered_win_data, 'o')\n",
    "plt.plot(df_filtered['PTS'], predictions)\n",
    "plt.plot(win_rates_by_bin, 'r')\n",
    "plt.plot(win_rates_by_bin, 'r*')\n",
    "plt.xlabel('PTS')\n",
    "plt.ylabel('WON')\n",
    "plt.legend(['data', 'logistic prediction', 'bin prediction'], loc=\"lower right\")\n",
    "plt.savefig('WON_vs_PTS_binned_annotated_and_logistic_curve.png',\n",
    "            dpi=300,\n",
    "            bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also get a steeper version of the same curve by adjusting $\\theta_0$ and $\\theta_1$ so that we still get 50% at the same PTS value."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df_filtered[\"PTS\"], jittered_win_data, 'o')\n",
    "plt.plot(df_filtered[[\"PTS\"]],\n",
    "         1 / (1 + np.exp(11 - 0.1 * df_filtered[[\"PTS\"]])),\n",
    "         color='#dd8452')\n",
    "plt.plot(df_filtered[[\"PTS\"]],\n",
    "         1 / (1 + np.exp(22 - 0.2 * df_filtered[[\"PTS\"]])),\n",
    "         color='#dd8452',\n",
    "         linestyle='dashed')\n",
    "plt.legend(['data', 'logistic', 'steeper logistic'])\n",
    "plt.xlabel(\"PTS\")\n",
    "plt.ylabel(\"WON\")\n",
    "plt.savefig('logistic_and_steeper_logistic.png', dpi=300, bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df_filtered[\"PTS\"], jittered_win_data, 'o')\n",
    "plt.plot(df_filtered[[\"PTS\"]],\n",
    "         1 / (1 + np.exp(11 - 0.1 * df_filtered[[\"PTS\"]])),\n",
    "         color='#dd8452')\n",
    "plt.xlabel(\"PTS\")\n",
    "plt.ylabel(\"WON\")\n",
    "plt.savefig('logistic_only.png', dpi=300, bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Logistic Regression Fitting Example"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To fir a model, we need to first pick a loss function. Let's use the mean squared error. There are other reasonable choices, but we'll use MSE since it's familiar."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As an example, let's consider a tiny dataset with only 3 games."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>TEAM_NAME</th>\n",
       "      <th>GAME_ID</th>\n",
       "      <th>PTS</th>\n",
       "      <th>WON</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1573</th>\n",
       "      <td>New York Knicks</td>\n",
       "      <td>21800787</td>\n",
       "      <td>84</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>Toronto Raptors</td>\n",
       "      <td>21800248</td>\n",
       "      <td>93</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1549</th>\n",
       "      <td>Los Angeles Lakers</td>\n",
       "      <td>21800782</td>\n",
       "      <td>101</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               TEAM_NAME   GAME_ID  PTS  WON\n",
       "1573     New York Knicks  21800787   84    0\n",
       "496      Toronto Raptors  21800248   93    1\n",
       "1549  Los Angeles Lakers  21800782  101    0"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "df3 = df.iloc[[25, 195, 517], :].copy()\n",
    "df3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df3['PTS'], df3['WON'], 'o')\n",
    "x_vals = np.linspace(80, 130)\n",
    "plt.plot(x_vals, 1 / (1 + np.exp(11 - 0.1 * x_vals)), color='#dd8452')\n",
    "plt.xlabel(\"PTS\")\n",
    "plt.ylabel(\"WON\")\n",
    "plt.savefig(\"loss_example.png\", bbox_inches=\"tight\", dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df3[\"PTS\"], df3[\"WON\"], 'o')\n",
    "x_vals = np.linspace(80, 130)\n",
    "plt.plot(x_vals, 1 / (1 + np.exp(100 - 0.1 * x_vals)), color='#dd8452')\n",
    "plt.xlabel(\"PTS\")\n",
    "plt.ylabel(\"WON\")\n",
    "plt.savefig(\"loss_example_2.png\", bbox_inches=\"tight\", dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sigma(x):\n",
    "    return 1 / (1 + np.exp(-x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mse_loss(theta0, theta1, x, y_obs):\n",
    "    y_hat = sigma(theta0 + theta1 * x)\n",
    "    return mean_squared_error(y_obs, y_hat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.1934284515606485"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mse_loss(theta0=-11, theta1=0.1, x=df['PTS'], y_obs=df['WON'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.19320274726296938"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mse_loss(theta0=-11.1, theta1=0.1, x=df['PTS'], y_obs=df['WON'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.19318948075591028"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mse_loss(theta0=-11.09, theta1=0.1, x=df['PTS'], y_obs=df['WON'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, consider our 3 data point example."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.2556584159612308"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mse_loss(theta0=-11, theta1=0.11, x=df3['PTS'], y_obs=df3['WON'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.3333333333333333"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mse_loss(theta0=-100, theta1=0.11, x=df3['PTS'], y_obs=df3['WON'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.24465476392196947"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mse_loss(theta0=-12, theta1=0.12, x=df['PTS'], y_obs=df['WON'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.1946924895468406"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mse_loss(theta0=-12, theta1=0.11, x=df['PTS'], y_obs=df['WON'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.23126089197744093"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mse_loss(theta0=-12.2, theta1=0.12, x=df['PTS'], y_obs=df['WON'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "from lec5_utils import loss_plot_3d\n",
    "from lec5_utils import loss_contour_plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "theta0s = np.linspace(-11, 0, 10)\n",
    "theta1s = np.linspace(0, 0.3, 10)\n",
    "loss_plot_3d(theta0s, theta1s, mse_loss, df[\"PTS\"], df[\"WON\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "theta0s = np.linspace(-11, 0, 20)\n",
    "theta1s = np.linspace(0, 0.3, 20)\n",
    "loss_contour_plot(theta0s,\n",
    "                  theta1s,\n",
    "                  mse_loss,\n",
    "                  df[\"PTS\"],\n",
    "                  df[\"WON\"],\n",
    "                  flip_axes=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mse_loss_single_arg(thetas):\n",
    "    x = df[\"PTS\"]\n",
    "    y_obs = df[\"WON\"]\n",
    "    return mse_loss(thetas[0], thetas[1], x, y_obs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.1934284515606485"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mse_loss_single_arg([-11, 0.1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "      fun: 0.19318355600805998\n",
       " hess_inv: array([[ 2.36968721e+03, -2.12931117e+01],\n",
       "       [-2.12931117e+01,  1.92346185e-01]])\n",
       "      jac: array([-3.7252903e-09, -6.2212348e-07])\n",
       "  message: 'Optimization terminated successfully.'\n",
       "     nfev: 96\n",
       "      nit: 20\n",
       "     njev: 24\n",
       "   status: 0\n",
       "  success: True\n",
       "        x: array([-11.02822053,   0.09954708])"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from scipy.optimize import minimize\n",
    "minimize(mse_loss_single_arg, x0=[0, 0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Fitting using sklearn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Rather than defining a loss function and minimizing ourselves, we can use the built in LogisticRegression feature of sklearn."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "logic_model = LogisticRegression(penalty='l2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='ovr', n_jobs=1,\n",
       "          penalty='l2', random_state=None, solver='liblinear', tol=0.0001,\n",
       "          verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logic_model.fit(df[['PTS']], df['WON'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-8.51495944])"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logic_model.intercept_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.07676973]])"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logic_model.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'WON')"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df_filtered[\"PTS\"], jittered_win_data, 'o')\n",
    "plt.plot(df_filtered[[\"PTS\"]],\n",
    "         1 / (1 + np.exp(10.55 - 0.095 * df_filtered[[\"PTS\"]])),\n",
    "         color='#dd8452')\n",
    "plt.xlabel(\"PTS\")\n",
    "plt.ylabel(\"WON\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.83281129, 0.16718871]])"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logic_model.predict_proba([[90]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0], dtype=int64)"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logic_model.predict([[90]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Multidimensional Logistic Regression\n",
    "A model that uses only points has limited accuracy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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x9dVXQ6lU4u2338aNN96I8+c5GR0Fn7/zDvXkajhvZkocVl03Hv9551SP6zL54tDJJmzZV+V2oU5vqJUCNu0+I1FV5IkgAD+9qQBxHkZnSaGmscPt7R5XeHdys6+TNnoz1QRFn4gKQqWlpbj99ttx+vRpv/7+5z//ORobG/HQQw9h8+bNeOGFF7B161bcdtttOH/+PH71q19JXDFRf4HMOwR4P5xXpQy9t7+uy4IT3wXWqkQ+6A4RGUmBh29POvTuWx8NHhYFdrZ8hq+TNnJFd3Im9D4J/dDe3o4//elPuOWWW1BZWYnc3Fyfj3Hw4EEcPHgQl112GR5++GHHfqVSiV/+8pfIycnBzp07UVFRIWXpRP1kpsRh1sQsv/7Wl4njxuSG3kzTDa16j1+IkUzwEIDTk2KxdMYwXDk2XZLHE2FrJREU7r8KAgnmdj3nCXLGn+UxfG095cSH5ExEBKE333wTr7zyClJSUvD3v/8dy5cv9/kY27dvBwAsWrQIij4fCmq1GgsXLgQAfPXVV4EXTORGfYsOe0s8X4ZVCMBN80di6YxhmJafgaUzhuGxWy5HXUtnv5mAex57/Sff4o9vHYQI0ZcVOgZEl8niWOsqGnnqp3PX98ZgbkE2jpQ3SvaYTe16qD20DkrxT5Lb3VnXFX+Wx/Cl9ZQTH5IrEdFZOisrC08++SRuv/12aLVafPvttz4fo7y8HAAwZswYp7ePGjUKAFBWxmUKKLg89XvITo3DFaPT+w0hLiyuxfPvH+v1ZbplXxUmjUhBrEYFfZcZJWdbet0udP8XvdEjvLzz5SnEalSSjvw7W3cBRrPVp78Z62FCxb68CSH+rMZu/xtvpqK4YnR6ryH2HFJPdhERhG6++eaAj9HQYBu2mZmZ6fT2jIyMXvcjChZP/R7yMhL6jbqpb9G5/DI4fsZ1nxsRtiA0f3IOWi8aXE54R6Eh0NGEzvRdRsMbJov3walvkOk750/PQNJ3ZGOCVuXdpIVevGgP9WlF21pUFfVD6skmIoKQFHQ62wdMbKzza8harbbX/YJBrVY65nqg/qLl3ORlDXY7n8rQ7MR+5+K9naf9Hv4sAjjfokdGShymjMvAkZMNnBSR3PK0/l1WahzG5CUjIyUOi6cNRU56AgDgy/2V+NvGY7D2eIFt3V+NR26+HP82bRgAwAQBothkW2ssVo2UlHikd/99X7WNHXjj85N+hXerCLzx+UnMKBjiqC8aRMvnqC8YhLoplbahxIKH3oqcf5KC7Zrpw/DhrtO9vizsFAoBi6cNdWzXNnZgW1Eldh85F9BjnqxqxcmqVgC2DrtT8zNQ36xDdYP7Ic89aWOUMJosDFGExAQN/vPOqb321TZ29AtBAGC1ivjbxmMYPzwVJ84297vPh7tO445rx6FTb0JDqx4ZybG4Zvow5KQnYFtRpdP3ibesVhFf7K/CquvG+30MCn8MQt3i4+MBwOX8QwaDrfnYVYuRFDiztHPhMCOqu+Z+X+4DAGoAq64d26+vhABgwmUpePXj40hN1CJOo8KHu89IHjxEEThc1oCJw1N9CkLRPNormigEID0x1u2cURqV0O/9+tHOCpehxWoV8c6WUhQ66R9ntYp487PSXvs+3FmBVUvG4VRV4FMtVNW1h/Rni1TC4XPUX5xZWiIZGRn49ttv0djofDSGvW+Qva8QkZ2zKf779j/w5j492ftK2Jci0HdZUHK2GcfPNAf76QCwXTboMEgz6zTJS6kQkDJYg6Z2gySzR8+amA2FAm47S7deMGLdxyW9Ar+nvm/lNW0+TY74+mdliNUEPikoh9QHj2gxQdS1QdS1w6prg9jZBtFwAYrUYVAPv1Lu8hwYhLqNHTsWO3bscDlPkH3/2LFjB7IsCnGupvjvOaU/AI/3cTUiZuWCkY4FUwf6qmxCrMrtiLLEhBgAQHuHccBqIt8pFAKmjstwrAK/pagyoNfS3pI6j/MYVTd2oLp7Jml74JdixvS+9F2BtUL6OqTe21bdSCeajRD17RA722wBxxF2WiHq7Ptbga5Ol8cQlj0JVU7+AFbtGoNQt/nz52PdunX44osv8Oijj/aaS8hkMjnmD7r66qvlKpFCkLuh7vYp/UWIHu/jbO0lbx4jmJITtG7H1g/LGIS6FtcfdBQaTGYrtuyrcgQSpUKA2RJAvxoRqGn0/t/dHvgfu+VybC2qcvpaVgi2CT6lHhVnn2oiVqPsdxnZl8lHAVur7vrPynq9HT7fV4W7l0bOyDPRbLzUetPjP2tnj/+va3MbcLx/sNDpTBh1QchkMqGqqgoAMHToUKjVagDAlClTMGnSJBw/fhzPP/88fvazn0EQBFgsFjzzzDOoq6vDvHnzkJ8fGgmWQoOn5n5vpvR3dR/7r8+iE/V+1RaoE9+1uP2sKh6gy3QkDXsgUSoDn0bT7MPweftjl1a2uZ0naHRuotM+Qv5SdK+jZg86U8dmOF313hv1Lbp+IQiw/UZY/1n4LOYqWsywtNbC2nrO9t+FBlsLjq4VVl27NAHHCUGTACE+CUKc7T9V7gQoQ6Q1CIjCIFRfX4+lS5cCsM0S3XM5jt/97ne444478PLLL+Orr77C6NGjUVpaiqqqKgwZMgS//e1v5SqbQpQ3ywJ4WkyyuqEDG3dW9Gpmd9anaKA1+riOE4U+qwjEq1UwmQPr/6VV+/7V0dSux8oFI3v1fesbSJwFJX84a+3pu+p9fYsOG3dWeHWZa0tRpct3sQjg8+7WtlAhWs2wtjdcCjyttai+WAdTcx1g7b9mm78E7aDucJMIIS4ZirhER+BRxCVduk2pluwxgyHqgpA7o0ePxqZNm7B27VoUFhZix44dyMrKwp133okHHngAaWlpcpdIIcLeWnOuscPl1aOe/Q9cXRIAbJPk1TVfunQxJjdpwENQvFaFkUMGc0LFKKDrCrwTvKd5hJyxd0ruG0h6cjahorPLWq64mnW9L18HL5yqaXf7uOU13s+yLSVngcfaeg7W9vOA1f/+U4J2kJNA071tb9mJTYSgjIwIIYicGCdkcPi8c6E27NOb1hr7L9I53UHI2xYeW3jKwa5jtRJW7NlV+RlIS9Riy76qAX1cig4CgGfvm+H15aO+7/n6Fh0Ki+tQ03jRZVhXCMAz93p+DPvgA1d9lZwdY/XL+9z2X8pOjcMz985w/6QC0Dvw9Li05U/gERRQDM6AInkIFEnZEOKTIcT3CDxhGHA4fJ5oALkaJWZXMDIVuekJ/X6R9hwOf+RUo8sPVasoz6/LuBiVx/5OFJlUysA6T3vDl6PXt+jwaVEVGlr1SNAqHZes7K1Izn5U+NLx2ZsBDn1brDx15B6Tl+T5iXkhaIEnOQdJw0YhJj0PbdZBIX+paqAxCBH5wNMIrtz0/uuA2dk/zJva9W4/VH3tiCoFvdEMbUzgc7IEKj5WhTiNyq/1r8g/wQ5Bdt70o/HmklXfObZ87fh8rsF9h+Caxv6TiF47fSh2F9c6HTwgCMC1PWZ795YoirC21cJSWwrL+VOwttRIEngUyUOgSBkCRWJWr8CT0N3KJoRIy3ooYRAi8oEUo8Q8dbD2pyNqoNISY9Gpl38CxYxELQSFgkEoAnlq6fRmTi572HHXz8gTTxOFdjh5H2SmxOFuJ6vcCwLwQy9bokRRhHihHubaMlv4qS2FqL/gfeFeBh7yHYMQkQ+8GSXmybyCHLfzqSQP0jgmoxso+cNsv7Dl1tphxNAMLgrprezUOFzUGdGhl24kkFz8uWTlj4RY9197bm93Mn7e3ahQ68VGWGrLYD53Apa6MoidrZ4L7Bl4UoZAkZTDwBNkDEJEPvAUYuyjxNzNQJuZEud2PpWBWkajpw8Lz0LfJf+XqcUqInmQRu4ywkpygiYsgpC9H42r94YUra3eGJKegOLTrtcoy3WyOru9tcrZPEI9W6usHS2w1JbaWn3qSiFebPJQjQBFah6UOflQpg9n4JEJgxCRDzyFmMyUuID7OXxxwLeRWyNyBqO2qdPtoqcKheB2le4ztT400QeRwWjBmTr3Q5WpN4Mp9Be7tfejcffekKK11Rve/pjpyVVr1SBBj1Hq82j+ogTxOAex3fPkp4rkIbbgk5MPVfZYCNoEf54GSYhBiMhH7kKMFP0cOn1smUlL1CIvPcHtkPshafE+rSQvF5PZimoPnVnpktz0BHxXF/wQq1YJMJn961Rt70cDuF9zz90SHAKATr3JsZDr+GHJOFHZ6teaX978mOnL3sFaAyPGqeswSn0eY9TnkaXsDu3trkfGCYlZUHUHH2XOOChiB3tVJw0cBiEiP7gKMVL0c0hK0KDlgvcT1tmDmLtRLYun5uK1z8q8PiaFCQFQ9lgXMVhGZCe6XW2+r7yMBGSnxvX6kbBxZ4Xb94arJTiE7v/pGfT7znflbjJEZ3wZeSYaOjC04xhmJJzEWHUdVIL7UZ3CoPTu4DMOypx8KOKTvaqJ5MMgRCQhKfo53Dh3OJ5775hXj2dvys9MicPsiVnYc/x8v/vMnpiN0+dC49IXSaumoQMWMbjTLcwtyEZCnNqnIJSdGocHbpjYa5837w37Ehz2maUFUXQZ8HuyisDrn5XhUFkjhmTEe9VC5G7kmVXXhtZvv8GFk0VI0VViMUQgxvlxWi1xaIodhkkzZ9mCzyCuQBBuGISIJCRFP4cJw1MxZ5LzUNNTz6b8+hYd9pY4v//ekjokJbADcqRSKaVtEYrXqqCJUSIpQYMb5w7HhOGpqG/RuV0mpi9nr3Nv3xuZKXFYdV0mAOCljUd8WqS8+Ewzis80+9xCBABWXTvMp4tgPnMA5voKxECEs0jTYdXgpCkbp8xZOGXKQpN1EJbmX4YpYwMf0UbyYBAikpA/HTGd+dF14zEmLwmbdp+BzmBGnFaFRVfmQt9lcdqU7+mSXOtF39eGotCXl5EAURTdTtDpq8HxMcjLSEBqohatF7vw2zcPoq2jC6mJWjS1GzwGE1evc3/eG/7Odu6sT54zotkIc9UxmMr3wFJ9HOhuXRP63K/dGoti41AcMw7FaXMmrLgUPn15X1NoYhAikpA/HTGd6Tu6xthhxIe7z2DVknFOm/M9fWFwQUH5xWtV0KiVaJEwlJZ+1wq9UdqJMG2LALsOVrnp8chJi4e+y4KSs829gpG717k/7w1PrUjuuOqTJ4oirA2nYSr/GqbTRYDR+XNttsSj2DgMR01DUWlOh9gvHtnMmuj9rNYUmhiEiCQW6BIAvow8swvkCwOwtSx0Gkw+ddIm33V6mNXYVxdlmA28prETty4c5bhk1vd1DgAbd1Y4HdHl63vDXSuSN3r2ybN2tsJUvgem8q8htju/jCzEp6BEHIXP6tJRY0lB/7ah/vaW1OG6mcMYhsIYgxBREASyBIA/I88C+cIQBOAnyydid3EtV58Pok5D6E966K0PC89iwvDUfq9zZ/MEfb6vChNHpCBWo3IEI2/fG65akbyVNlgL8/lymEq+hPnsIUB0MueSKgaqy66EeswcKHPyUb37DGpqvH8fSDnrNcmDQYgoxPgz8sz+hdF3LSRPeq6VNK8gB58XVfn09xSdmi/0f426askUARw/c2km574dmZ3NNJ3eY3ZnZ61I+cOSUFrZhprGizh+uqXfpV81zJiqOYvFjduhP1Xj9Dkos8dBPWY2VMOnQoi51Lnbnx8VUs16TfJgECIKEfYvBE8TH7odeeblh7dKKeCaq4b2uyzBEETeMJv7D9l315LZU89LvOU1bU5nmn7klsn4t2nDHPuctbBOGJ4KoHcrVKriImZrTmKGpgLxCiPQZ8S/EJ8Cdf58qEfPgmJQutP6/GmFkmrWa5IHgxBRCHB2ScEZVyNUXK2F5EryIE2/L5YtRZVe/jVFO32XGRt3VvSa4dmXmcutIvB5URUKnYQnqwj8beMxjB+eCm9W3JpbkINx2mZcOLAZ6Z3lTnv1KIeMh3rCIqiGToagUDo9Tt+WqcduuRyllW1oatcjNkblcj4jjhoLfwxCRDJzdUmhLwH9R9fYP7yPnmryqSk/Ia7/7HCnarjGF3nHKtpmdw6kT1l5TZvrvnBWEV/sr8LSaXku/14UrbBUHYPx6GfQ1p9Cv+ECKg3UY2ZDPWERlMlD3Nbibg00+w+GEUMGBzYuADgAACAASURBVDwalEITgxCRzLy9pCACEHu0+XjbiuSMs6Z8syW4MxR7QxCAqWMzcKCsQe5Sota0/AwcOtkAuV8ODS3Oh7WLVivMZ/bDeGQzrK3n+t0uJGYhZsIiqMfMhhDjOaB4O0oz0NGgFLoYhIhk5sukcfZlBJIGxaCwuM7vPj0pTobba9XyfxwkD9IgLSmwqQDIvZTB7teyS0uMxZQx6ThQ1hi0GhQCMCY3ye18RRl9AoYtABXBePhfsLbV9bu/MnssYi5fCmXeJAiC97Nt+zJKM5DRoBS65P/kI4pyvs4BVHymOeDH1DmZzyZ5cAyqg/fd5xWlQsDRU03yFhHhlAr3c+M0teuxYt7IoAUh++Wk0bmJTvsIAYBCIWDxtKEARIiiFeYzB2A8+CGsTub/UV02xRaAMkf5VY8U6wNSeGMQIpJZoJPG+eNUVf8FNIekJ6D4dIuTew+cxjb/llQg7+k8zGeUlhiLzJQ4/HDpOLz+WZlkj1swMhW56Qm9Lie5mmn6kZsnIzstHucPf42uAx/A2ty3L5IA1chpiLnieihT3Pf/8USK9QEpvDEIEcks0EnjnBHgfiS9sxmO5QhkNPBi1Arou+Bxza+efWJczdfji9z0hH6XlVz1uxkV34a6t/4fDNWlvQ8iCFCNnG4LQMneL6jqjlTrA1L4YhAiCgE9vxAOlNUH1DKiEICkBI3bNa3iY/sPTA5GIPNEqYDsnXKjTUJsDJbPHeHVCKiefWIC6ZwPuL7E1PMxrBca0bV/PWrP7O93P9XwqYiZukKyANTz8aVYH5DCF4MQUYiwfyHMLcjGL17e51dHaPuH9+lz7dh1rNbl/SaPdj6ZXM9AduRUo6Srmjvj6TnGa1UwmiwwWdhMJZXkQRq/RkC5m+G5qV2PpnYDztRecPn37i4xiUYdjEc+gfH4NsDa+9KdMnciNFethDL9Mp+fq7c4Iiy6MQgRhZjMlDjc7eVyGQKAeZNzoO8y9/rwHp2b6HICOEEAblwwCq4untkDWVO7PuhBSKlUwOpklmK7wfEx0HWZ0d5h9PsxRuQMRl1TJ/RGJ+tMRaHc9AQA/o2AcjfDc32LDqtf3ufTJSZRtMJc/jW69m+EqO8domKyRkB55Uqohoz3qUZ/cURY9GIQIgpBfX+h6rssKDnb3CvY2Ft/5jj5gnEVpgQB+OktVyAnPQGNjRfd1uDraLYROYOREKvyqS/JuKFJvdah6mtMXhKqGzr8DkIKAbh32Xg0tevx3HvH/DqGvxLi1OjQuV4dfv7kHJRXtwU9bPYUzD4vvl5isjRVwvD1W7DWV/TaL8QnI23hHUiYNA9NTZ1BqZWoJwYhohDV9xdqfYsu4EsZcwuyMXFspleP70vnaXvgyEyJ87ovydyCbCydMczlZUBBAK6dNtTvENPzCzgzJQ5zJmVhz/H+w6/9Mb+7Fc5TQC0srnUaRn/Yfbu7VhR/JA/SYHRuotu6gnm5x5tLTGJXJ7oObIKpdHvva6PKGMRMvg4xl1+LQdlpQauRqC9BFLnMYqgwmSxoaxu4X4fhwr4StacWDPKOL+fTm1DjrGWqb2jLSonFzqO1aOvoQlKCBjfOHd5r0Ux3YQEAXvv0hFchpmBEKrQapcug+O3ZZnxYeNZRx4LJOTjfokdTux7nmjpxrtF9C4QA4IdL+z/XQxXNaGjRIUGr6ve4ngKsP52QFQIwc2IWvj3bAp3BjDitCivmjcCcgksdiX0NzsEmiiLMZw+ia+8GiLre0zeohk+FZua/Q5Fge03wPS+9SD6nSUlxUKudryHnDQahEMIg5Fwkv4Hl4Ov57PuF2rODrFRfsN58absLMVLV4e9jBPoa9RQcg/FcB5K1owVdX78Fc+WRXvsViVnQzL4DqtyJvfbzPS+9SD6nDEIRhEHIuUh+A8uB51N6PKfOiaIIU+lOdBW9B5h6TAmhVCFmyg2IKVgCQdm/hwbPp/Qi+ZwGGoTYR4iIiCRn7WiGYddrsJz7ttd+ZU4+tHNXQZGYJVNlRL0xCBERkWREUYT5ZCEM3/wTMPWYRFETD+2M26AaMweC4H69M6KBxCBERESSsOovwLDrVViqeo/yUw6dDO28u6GIS5KpMiLXGISIiChg5upiGHa+0ntixJhYaGfdAdXoWWwFopDFIERERH4TzUZ07d8IU8kXvfYr8yZBO+9HUMQny1QZkXcYhIiIyC+WtloYvnwJ1paaSzuVKmim3wb1hEVsBaKwwCBEREQ+M1V8A8Pu9YC5y7FPkZIH7cIHoEwZIl9hRD5iECIiIq+JZiO69m6AqWxXr/3qiddAM20lBFWMTJUR+YdBiIiIvGK90AD9F3+Dtbn60s6YOMQuuBeqy66QrzCiADAIERGRR+bqYui/WgcYL81+r0gfgdh/exCKQekyVkYUGAYhIiJySRRFGI9+AuOBTQAurciknrgYmum3Ol0igyic8BVMREROiUY9DDtfgfm7Q5d2KmOgnf8jqEfNkK8wIgkxCBERUT/Wi03Qb/0fWFsu9QcSBqUj9pqfQpmaJ2NlRNJiECIiol4s9RXQb3uh1yzRytyJiF34AARtgoyVEUmPQYiIiBxMp/bCsPs1wGJ27FMXXAvNtFsgKBQyVkYUHAxCRERk6xR96CMYD398aadCCe3cu6EeO1e+woiCjEGIiCjKiVYzDLvfgLm80LFP0CRAe80jUGWPlbEyouBjECIiimKiUQ/9ly/CUlPi2KdIykHstf8BxeAMGSsjGhgMQkREUcqqa4N+y/OwNlc59imzxyL2mp9C0MTLWBnRwGEQIiKKQtb289B99meIF5sc+1QjpkF79b0QlGoZKyMaWAxCRERRxtJUCf2W53oNj1cXXAvN9FsgCBwZRtElIoLQ2bNn8eKLL+LQoUNobm5GVlYWlixZgvvvvx9xcXE+Hevo0aP4xz/+gcOHD6OzsxOpqamYNWsWHnzwQQwdOjRIz4CIaGCYz5dD//lfAKPesU8z498RU/A9Gasikk/YR//i4mKsWLECmzdvRlpaGhYsWACdTod169bhtttuQ0dHh9fH2rJlC26//XZs374dQ4YMwYIFCxATE4NNmzZh+fLlKC4uDuIzISIKLnPVMeg//fOlECQooF1wL0MQRbWwDkJmsxmPP/44dDodnnnmGWzcuBEvvPACvvzySyxcuBAnT57E888/79Wx9Ho9nn76aVitVjz33HPYtGkT1q5di88//xx33303Ojs7sXr16iA/IyKi4DCdOQD91hcAi9G2Q6lC7OJHoB4zW97CiGQW1kHo008/RXV1NWbOnImVK1c69mu1Wjz77LOIi4vD+++/j/b2do/HOnr0KC5cuIDRo0dj2bJljv1KpRKPPfYYlEolysvL0dLSEpTnQkQULKaKb2D46u+AaLHtUGsRu+RnUF12hbyFEYWAsA5C27dvBwAsXry4323JycmYPn06TCYTCgsL+93el1KpBAC0tLTAaDT2uq21tRUWiwVqtRoJCVxnh4jCh6l8Dwzb/xcQrbYdmnjELXsSqpx8eQsjChFhHYTKy8sBAGPHOp/5dNSoUQCAsrIyj8eaNGkSUlJS0NTUhJ/97Gc4c+YMDAYDjh07hoceeggAcPfddyMmJkai6omIgstYuhOGna8CEAEAgnYQ4pY9CWX6cHkLIwohYT1qrKGhAQCQmZnp9PaMjIxe93MnNjYWa9euxWOPPYZt27Zh27Ztjtu0Wi3WrFmDW2+9VYKqXVOrlUhPHxTUxwhnPDfS4vmUXiid0wuHtuJi4XrHtjI+Cdk/+G/EpOfJV5SPQul8Rgqe0/7CukVIp9MBsAUVZ+z77ffzZPjw4bj++uuhVCoxYcIELFq0CHl5eTAYDFi/fj2OHz8uTeFEREF04ciXaPr8fx3bykEpyL7zN2EVgogGSli3CCmVSlitVgiC4PZ+oih6PFZdXR3uuOMOtLa24tVXX8XMmTMdf/vGG2/gd7/7HX74wx9i8+bNyM7OlqT+vkwmC9ravAtt0cT+C6ax8aLMlUQGnk/phdI5NZ0shGHXa45tIT4F2ut+jnbrICAE6vNGKJ3PSBHJ5zQpKQ5qtdLvvw/rFqH4eNtaOHq93untBoMBgO2ylyd/+ctfUFNTg5/+9KeOEAQAgiDg7rvvxve//31cvHgR69evD7xwIqIgMJ3a2x2CuvsExSUhbtmTXDyVyI2wDkL2PkCNjY1Ob7f3DbLfz529e/cCAObOnev09gULFgAASkpKnN5ORCQn0+n9MOx8GY4QFJuIuGU/hyLReR9KIrIJ6yBkHy1WUVHh9Hb7flejynqyzzWkUjm/WmgfXm82m32uk4gomMxVR2HY/g9AtIegwYhd9iQUSVkyV0YU+sI6CM2fPx8AsHXr1n63tba2oqioCGq1GrNne545deTIkQAuzU3U1549ewAA+fmce4OIQoe5tgz6L150TJYoaBIQe91/QZmcI3NlROEhrIPQ4sWLkZOTgz179mDDhg2O/QaDAatXr4ZOp8PKlSuRlpbmuM1kMuH06dM4ffo0TCaTY/8PfvADAMDatWtx4MCBXo/zf//3f/jggw+gVqtxxx13BPlZERF5x9J4FvqtfwUs3Z9lai1ilz4BZUquvIURhRFB9GZIVQgrKirCfffdB4PBgAkTJiA3NxdHjhxBQ0MDxo8fj7feeqvXbNA1NTVYtGgRAOCrr75Cbu6lD4ynn34a7733HgDbBItZWVmoqKjA2bNnoVar8cwzz+CGG24I2nPhqDHnInm0gxx4PqUnxzm1tJyDbvOzQFenbYdSjdilT0CV7bkrQKjja1R6kXxOAx01FtbD5wFg+vTp2LhxI9auXYv9+/ejoqICubm5WLlyJX784x/7tCTGmjVrMG/ePPzzn/9ESUkJSktLkZycjGXLluGee+7hZTEiCgnWjmboP/vTpRAkKBG7+OGICEFEAy3sW4QiCVuEnIvkXzJy4PmU3kCeU9HQAd2/noG1ra57jwDtogehHjkt6I89UPgalV4kn9OonkeIiCiaiOYu6Lb+tUcIAjRz7oqoEEQ00BiEiIjCgGi1QP/l32GtvzRdSMyUGxAz/moZqyIKfwxCREQhThRFdO15A5aqo4596nELEHPlchmrIooMDEJERCHOeGQzTGW7HduqYVdAM+dOj+ssEpFnDEJERCHMVPENjAc3ObaVmaOhXfQgBIX/nUOJ6BIGISKiEGWuOwnDzlcd20JiFmK/9ygEVYyMVRFFFgYhIqIQZG2rg37bC4DVtr6hoB2EuCWPQ9B6PzcaEXnGIEREFGKs+gvQbXm+x6zRKsRe81MoBmfIWxhRBGIQIiIKIaLFDMMXayFebHTs0159H5RZo2WsiihyMQgREYUIURRhKHwDlvPljn0x026BegQnTCQKFgYhIqIQYTr+OczlhY5t1Zi5iLl8iYwVEUU+BiEiohBgrjqKrn3vO7aVWWOgnXsX5woiCjIGISIimVlazkH/1ToAtjWwhYRUaBc/DEGplrcwoijAIEREJCOxq9M2TN5ksO1QaxF77X9AETtY3sKIogSDEBGRTETRCv2O/4V4ob57j4DYq++HMiVP1rqIogmDEBGRTIyH/wVL1THHdszU5VBddoWMFRFFHwYhIiIZmCuPwnjoI8e2cuhkxFzxfRkrIopODEJERAPM2l4P/Y5/OLaFxEzELrwPgsCPZKKBxncdEdEAEk0G6Lf9DTDqbTtUGsQu/imEmDh5CyOKUgxCREQDRBRFGHa9BmtrjWOfdsGPoUwZImNVRNGNQYiIaICYjm+F+cx+x7a6YAmXzyCSGYMQEdEAMNeWoquox8zRQ8ZDM22ljBUREcAgREQUdNaOZhi+fAkQrQC6Z45e+AAEhVLmyoiIQYiIKIhEiwn6L9ZCNFy07VCqELv4Ec4cTRQiGISIiIKoq2gjrI1nHdvaOaugTL9MvoKIqBcGISKiIDF9dximkm2ObfW4BVCPnStjRUTUF4MQEVEQWC82wbDzFce2IiUPmlm3y1gRETnDIEREJDHRaoZ++zrAqLPtUGkQ+28/gaCKkbcwIuqHQYiISGLGA5tgra9wbGvnroIiKVvGiojIFQYhIiIJmauKYTz2mWNbNWYu1KNnyVgREbnDIEREJBFrZysMO192bCuSc6CdfYeMFRGRJwxCREQSEK0WGLav6zFfUAy0ix6CoNbIWxgRucUgREQkgdbC92GpO+nY1sz+ARdTJQoDDEJERAHSny1G254PHNuqUTOgHjtPxoqIyFsMQkREAbDq2tHw8f8AEAEAQmImtHNWQRAEeQsjIq8wCBER+UkURRh2vQJLZ5tth1KF2EU/gRATK29hROQ1BiEiIj+Zvv0Klurjjm3NjNugTBsmY0VE5CuV3AUQEYUjS+s5dBW959iOG3UlFOMXyVgREfmDLUJERD4SLSYYtv8DsJgAAMr4RKQve4j9gojCEIMQEZGPug5sgrW5yrGdvuwhKOMTZayIiPzFIERE5ANzbSlMxZ87ttXjFyJu1JUyVkREgWAQIiLyktjVCcOOl2EfKq9IyoZmxq3yFkVEAWEQIiLygiiKMBS+AbGzxbZDoYR24f0QVFxCgyicMQgREXnBXPENzGf2O7Zjpq6AMu0y+QoiIkkwCBEReWC92AjDnrcc28rssYgpWCJjRUQkFQYhIiI3RKvV1i/IpLftiImF9ur7ICj48UkUCfhOJiJyw3jsU1jOlzu2tXPugiIhVcaKiEhKDEJERC5YmiphPPiRY1s1agbUo2bKWBERSY1BiIjICdFigmHny4BoAQAI8SnQzr5T5qqISGoMQkREThgPfQxrS41jW7vgHgiaeBkrIqJgYBAiIurD0nAaxmOfOrbV4xdBNWS8jBURUbBExOrzZ8+exYsvvohDhw6hubkZWVlZWLJkCe6//37ExcX5dCydTofXXnsNW7duRVVVFRQKBfLz83HXXXfh2muvDdIzIKJQIZqNtlFiom32aGFwBjTTb5G5KiIKlrBvESouLsaKFSuwefNmpKWlYcGCBdDpdFi3bh1uu+02dHR0eH2spqYm3Hzzzfjb3/6GlpYWzJkzB2PHjsXhw4fx6KOPYv369cF7IkQUEroOfABr+/nuLQHaBfdCUHP2aKJIFdZByGw24/HHH4dOp8MzzzyDjRs34oUXXsCXX36JhQsX4uTJk3j++ee9Pt7q1atRUVGB733ve9i+fTtefPFFvPvuu3jttdegVqvxxz/+EbW1tUF8RkQkJ3PdSZiOb3Nsqwu+B1XWaBkrIqJgC+sg9Omnn6K6uhozZ87EypUrHfu1Wi2effZZxMXF4f3330d7e7vHYxUXF2Pnzp0YOnQo/vSnP0GjufQLcNasWVixYgWysrJQUlISlOdCRPISTQYYdr6CSwuq5kAzdYW8RRFR0IV1ENq+fTsAYPHixf1uS05OxvTp02EymVBYWOjxWFu2bAEA3Hnnnb1CkN2aNWuwfft2XHPNNQFWTUShqGvfexAvNto2BIVtlJgqRt6iiCjowrqzdHm5bbbXsWPHOr191KhR2LFjB8rKyrBs2TK3x7K39EyePBk6nQ5bt27F8ePHYbFYMGnSJCxbtgxarVbaJ0BEIcFcUwJT6Q7Hdszk66DMGCFjRUQ0UMI6CDU0NAAAMjMznd6ekZHR637ufPfddwCA1tZWLFu2DOfOnXPc9u677+Lvf/871q1bh9Gj2V+AKJKIXZ0w7HrNsa1IzUPMlBtkrIiIBlJYByGdTgcALltq7Pvt93PHPrrsiSeeQE5ODt5++23k5+ejpqYGf/7zn1FYWIh7770Xn3zyCRISEiR6Br2p1Uqkpw8KyrEjAc+NtHg+bRo2vwGxs8W2oVAh+8b/gCYz2a9j8ZxKi+dTejyn/YV1HyGlUgkAEATB7f3E7vlA3Onq6gIAxMTE4M0338RVV12FhIQEjBs3DuvWrcOYMWNQV1eHd999N/DCiSgkdJ46iI7iS5fEkufdAk3mZfIVREQDLqxbhOLj49HW1ga9Xu/0doPBAACIjY31eCytVovOzk4sX74ciYmJvW5TqVS47bbbsGbNGnzzzTe45557Ai/eCZPJgrY2z61X0cb+C6ax8aLMlUQGnk8b0ahD56frHNuK9BEwjVrk13nhOZUWz6f0IvmcJiXFQa1W+v33Yd0iZO8D1NjY6PR2e98g+/3cSUtLAwDk5uY6vd2+v7W11ec6iSj0dBW9D7Gz+/2sUEG74McQFP5/mBJReArrIGQfLVZRUeH0dvt+V6PKnB2rvr7e6e32sJWSkuJznUQUWsy1pTCV7nRsx0y5HsrkIfIVRESyCesgNH/+fADA1q1b+93W2tqKoqIiqNVqzJ492+OxFixYAMA2n5DJZOp3++7duwEA06ZNC6BiIpKbaO6CYfd6x7YiJQ8xly+VryAiklVYB6HFixcjJycHe/bswYYNGxz7DQYDVq9eDZ1Oh5UrVzouewGAyWTC6dOncfr06V6BZ+nSpcjNzcV3332HNWvW9Lpt48aN2Lp1KxITE3HTTTcNzJMjoqDoOvgRxAvdLb+CAO38H0FQhnV3SSIKgCB6M6QqhBUVFeG+++6DwWDAhAkTkJubiyNHjqChoQHjx4/HW2+91Wu4e01NDRYtWgQA+Oqrr3r1CSopKcE999yD1tZWZGRk4PLLL0dlZSXKy8uh0Wjw17/+FQsXLgzac2FnaeciuZOfHKL5fFoaz0L30RrHyvLqgiXQzrg14ONG8zkNBp5P6UXyOQ20s7TfP4OkWnw0JycnoL+fPn06Nm7ciLVr12L//v2oqKhAbm4uVq5ciR//+Mc+zfkzceJEbN68Gf/4xz+wY8cO7Ny5E0lJSbjuuutw3333Ydy4cQHVSkTyEa1m28SJ3SFIGJwJzdTlMldFRHLzu0UoPz8/8AcXBJw4cSLg40QKtgg5F8m/ZOQQreez6/C/YDy4ybEdu+xJqHIC/xwDovecBgvPp/Qi+ZzK1iIU5lfUiCiKWFprYTz8L8e2On+BZCGIiMKb30Hoq6++8un+VqsV69evxzvvvAPAFqSWL2ezNBEFl2i1wrD7NcBqBgAI8cnQTL9F5qqIKFT4HYSGDPF+zo3Kykr8/Oc/x9GjRyGKItLT0/Gb3/zGMWSdiChYTCe+grX+0lxj2jl3QYiJk7EiIgolQR8zun79evzP//wPDAYDRFHEDTfcgNWrV2Pw4MHBfmgiinLWi43o2v9/jm3VyOlQDbtCxoqIKNQELQhVVVXhqaeewuHDhx2tQGvWrMHVV18drIckInIQRRGGwjcAs21BZUGTAM2sH8hcFRGFmqAEoTfffBN/+ctfHK1A119/PX75y1+yFYiIBoz51F5Yakoc25pZt0MRy88gIupN0iBUXV2NX/ziFzh48CBbgYhINlZdOwzfvOPYVuYVQDVqpowVEVGokiwIvf3223juuefYCkREsuva+zbQ1WnbUGuhnbsKgiDIWxQRhaSAg1BNTQ2eeuopRytQWloa1qxZE9SlKIiIXDGdPQTzmQOObc30W6BISJWxIiIKZQEFoQ0bNuC5556DXq93tAKtXr0aiYmJUtVHROQ1sasTXXvedGwrs8ZAnb9AvoKIKOT5HYRWrVqF/fv3QxRFKBQK3HHHHVi4cKHPS2bMnMnr9kQkja5970HUt9s2lCpo5/0IgqCQtygiCml+B6GioiIIggBBECCKIt5++228/fbbPh2Da40RkVTM507AdHK3YzvmyuVQJGXJWBERhYOALo0Fut4Y1ysjIimIpi4Ydr/u2FakDkNMwbUyVkRE4cLvIFRWViZlHUREfus6uAnixUbbhqCAdv6PICiCPnE+EUUAXjwnorBmaTgNU8k2x3bM5UuhTBsmY0VEFE4YhIgobIkWMwy7XgO6L7MLiVmImXK9zFURUTiRrO24s7MT//rXv7Br1y6cPHkSLS0tEEURKSkpGDNmDBYsWIDrr78eCQkJUj0kEUU549FPYG0959jWzv8RBFWMjBURUbiRJAht2bIF//3f/40LFy4A6N0J+vz586ivr0dhYSH++te/4le/+hWuu+46KR6WiKKYpaUGxiObHdvq8YugyhojY0VEFI4CDkK///3v8cYbbzjCz+jRo5Gfn4/U1FSoVCq0trbixIkTOHnyJC5cuIAnnngCR44cwS9/+cuAiyei6CRarbZLYlYLAECIT4Fm2kqZqyKicBRQEPrggw+wfv16AMA111yDxx9/HJdddpnT+547dw4vvvgiNm3ahA0bNmD8+PFYsWJFIA9PRFHKVPIFrI1nHNvauasgxMTKWBERhSu/O0u3tLTgt7/9LQRBwFNPPYUXXnjBZQgCgCFDhuDZZ5/Fr3/9a4iiiN/85jdoaWnx9+GJKEpZLzSg68AHjm3VqJlQDb1cxoqIKJz5HYQ2btwIvV6PZcuWYdWqVV7/3a233oqbbroJBoMBmzZt8vfhiSgKiaIIQ+F6wGIEAAjaQdDMul3eoogorPkdhHbv3g1BEPDAAw/4/LcPPPAARFHErl27/H14IopC5pOFsJy7tCyPZvYdUGgHyVgREYU7v4NQRUUFUlNTMXLkSJ//Ni8vD0OGDMGpU6f8fXgiijLWzlYY9v3Tsa0adgVUI6bJWBERRQK/g1BnZyeys7P9fuDU1FR0dHT4/fdEFD1EUUTX128BRr1thzoWmjl3QRAEeQsjorDndxAaPHiwY94gf1y4cAGxsRzlQUSemc8ehPm7w45tzYxboYhPlrEiIooUfgeh3NxcVFdXo7Gx0ee/bWpqQmVlpdtRZkREACAaOmytQd2U2eOgHjdfxoqIKJL4HYRmzpwJq9WKN9980+e/feONNwAAs2bN8vfhiShKGPb9E6K+u/VZqYZ23g95SYyIJON3EFq5ciVUKhVef/117N+/3+u/27NnD15//XUolUrccsst/j48EUUBc/VxmMu/dmxrpq6AIjFTxoqIKNL4HYTy8vJw1113wWw2Tcfu6wAAIABJREFU495778WGDRtgNBpd3t9oNOKVV17Bgw8+CIvFgocffhhDhgzx9+GJKMKJJoNtzqBuivThUE+6Rr6CiCgiBbTExhNPPIFTp06hsLAQv/3tb7F27VpMmzYN48aNQ1JSEtRqNdrb21FWVoY9e/agra0Noiji2muv9Wv+ISKKHl0HPoDY0WzbEJTQzvsRBIVS3qKIKOIEFIQUCgXWrVuHP//5z3jrrbfQ2tqKbdu2Ydu2bf3uK4oi1Go1HnnkEdx7772BPCwRRTjL+VMwlXzp2I654jooU/NkrIiIIlXAq88rlUo8+eST+MEPfoB33nkH33zzDcrLy2GxdK8KLQgYNmwYrr76avz7v/87hg4dGnDRRBS5RLMRht2vARABAIqkHMRc8X15iyKiiOV3EKqoqMCoUaMc27m5ufiv//ovALbWn/b2dnR1dSEpKQkajSbwSokoKhiPbIa1ra57S4B2/o8gKNWy1kREkcvvIPT9738fGRkZmDVrFmbPno1Zs2YhJSUFgK0VKCkpSbIiiSg6WJqrYDz6mWNbPfHfoMwc5eYviIgC43cQEkUR9fX1+Oijj/DRRx9BEASMHTsWs2fPxuzZszF16lSo1fwVR0TeEa0WGHa9Bojdl9UTUqG56iaZqyKiSOd3EProo49w4MABHDhwAIcOHUJzczNKS0tRVlaGV199FVqtFlOnTnUEo9GjR0tZNxFFGNPxbbA2fefY1s77IQS1Vr6CiCgqCKIoilIc6PTp0zh48KAjGNXV2a7x22eATU9Pd1xCmz17tuMyGl1iMlnQ1qaTu4yQk54+CADQ2HhR5koiQyieT2t7PTr/75eAxQQAUI2Zg9gF98hclfdC8ZyGM55P6UXyOU1KioNa7f/UGpIFob6qq6sdwejAgQOorq62PaAgOC6jzZkzBz/72c+C8fBhiUHIuUh+A8sh1M6nKFqh/+QPsNSdBAAIsYMRf/OzELQJMlfmvVA7p+GO51N6kXxOAw1CAQ+fdyUvLw95eXm48cYbAQCNjY04dOgQCgsL8dlnnzkuozEIEUU3U9luRwgCAM3sO8MqBBFReAtaELIrKyvDvn37cOjQIZSWluLcuXOwN0KxMzVRdLN2tKBr33uObdVlV0I94ioZKyKiaCN5EKqvr0dhYSEKCwuxb98+XLhgWzXaHn5Gjhzp6EA9ffp0qR+eiMKEKIow7HkDMOltO2LioJlzp7xFEVHUCTgImUwmHDx40BF+KioqAFwKPklJSZg5cyZmz56NuXPnIjOTK0cTEWA+XQRL1THHtnbGbVDEcf4xIhpYfgehd955B7t378b+/fuh1+sdwUelUmHy5MmOVp9JkyY5Ro4REQGA1XARXXs3OLaVQ8ZDNXaujBURUbTyOwitWbMGgiBAFEUMHToUc+fOxaxZszBjxgzEx8dLWSMRRZiuvRsgGrpHr6hioJ17N38wEZEsAr40Nnr0aFx//fWYNWsWJkyYIEVNRBTBzN8dgblin2Nbc9VNUAzOkLEiIopmCn//cPbs2dBoNDh16hSef/55rFy5ErNmzcITTzyBjz76CE1NTVLWSUQRQOzqtHWQ7qbIHAX1hMUyVkRE0c7vFqFXX30VRqMRRUVFKCwsxJ49e3DmzBl88skn+PTTTwHAMWki1x4jIgAwfPMuRF2bbUOpsq0sr/D79xgRUcAknVm6rq4Ou3fvdgyd7+josD2IIECr1WLatGmYM2cO5syZg+HDh0v1sBGDM0s7F8kzospBrvNprj4O/ZbnHNsx026GZvJ1A1pDsPA1Ki2eT+lF8jkN2SU2LBYLjhw54hhWX1pa6hhZJggCsrOzMWfOHKxZsyYYDx+WGISci+Q3sBzkOJ+iUY/OjashdrYAABRplyFu+f+DoPD/wyuU8DUqLZ5P6UXyOQ3ZINRXW1sbDh48iL179+Ljjz9GZ2cnBEFAaWnpQDx8WGAQci6S38BykON8Gva8CdOJ7bYNhRJxK/4bypS8AXv8YONrVFo8n9KL5HMasmuN2VVWVuLw4cM4duwYiouLUV5eDrPZDAAcLksUBcy1pZdCEICYK74fUSGIiMKbpEHIZDLh22+/xeHDhx3/tba2Arg003ReXh5mzpzp+E8KZ8+exYsvvohDhw6hubkZWVlZWLJkCe6//37ExcUFdOw//OEPeO211/Dwww/jkUcekaReomghmrpg2PWaY1uRkouYyctkrIiIqLeAglBbWxuOHDniCD0lJSUwGo0ALgWf1NRUzJgxAzNmzMCsWbMwZMiQwKvuobi4GKtWrYJOp0NBQQEmTZqEw4cPY926ddixYwfeeecdJCT4t5L1119/jddff13SeomiSdfBTRAvNto2BAW08++BoAx6QzQRkdf8/kRaunQpzp4969i2B5+4uDhMnTrVMcv0uHHjAq/SBbPZjMcffxw6nQ7PPPMMVq5cCQAwGAx47LHHsH37djz//PN4+umnfT52S0sLnnzySQxQFyqiiGOpr4Dp+DbHdszlS6BMv0y+goiInPA7CJ05c8Z2AJUKBQUFjuAzefJkqFQD84vv008/RXV1NWbOnOkIQQCg1Wrx7LPPYuHChXj//ffx6KOPIjEx0adj/+IXv0BrayumTJmCw4cPS106UUQTzUYYdr0KwPZDQpGYhZgpN8hbFBGRE34nllWrVmHWrFm46qqrAu6H46/t220dMBcv7j8zbXJyMqZPn44dO3agsLAQy5Z53y9hw4YN2LFjBx599FG0trYyCBH5yHj4Y1jb6rq3BGjn/xiCKkbWmoiInPF7StennnoK8+fPly0EAUB5eTkA2wzWzowaNQoAUFZW5vUxT506hT/84Q+YMmUK7r///sCLJIoylvoKGI995thWT1wMZdZoGSsiInItrOe2b2hoAABkZmY6vT0jI6PX/Tzp6urC448/DrVajT/96U9QKiNjsjeigSKajTDsfAWwT546OAOaq26SuSoiItfCeviGTmebfFCr1Tq93b7ffj9P/vjHP6K8vBx/+MMfkJubK02RPlCrlY5Jr6g/nhtpBeN8Nn/xOqzt57u3BGQvfxTanDTJHydU8TUqLZ5P6fGc9hfWLUL2FhtPEzN6M/Jr586dePvtt7F06VIsX75ckvqIoom+6gTa93/q2E6c/n1o84I3apSISAph3SIUHx+PtrY26PV6p7cbDAYAQGxsrNvjNDU14amnnkJ2djZ+/etfS16nt7jEhnORPDW8HIJxPkWTAZ0fvQDHKLGkbFgmLIuafzO+RqXF8ym9SD6nIb/ERjBlZGSgra0NjY2NyMvrP2W/vW+Qva+QKy+99BJaWlqQn5/fbxHYb7/9FgCwbds2VFZWYuTIkXjwwQclegZEkaGr6P0eEycK0C64l6PEiCgshHUQGjt2LMrLy1FRUYEpU6b0u72iosJxP3fsfYhKS0tdLgJbXl6O8vJyTJs2jUGIqAfzuRO91xK7/DooM0bIWBERkffCuo/Q/PnzAQBbt27td1trayuKioqgVqsxe/Zst8f5/e9/j5MnTzr976677gIAPPzwwzh58iTeeust6Z8IUZgSjfruiRNtFCm5iLmSEycSUfgI6yC0ePFi5OTkYM+ePdiwYYNjv8FgwOrVq6HT6bBy5UqkpV0atWIymXD69GmcPn0aJpNJjrKJIkbXN/+E2NFs2xCUtktiSrW8RRER+SCsL41ptVr8/ve/x3333Yc1a9bggw8+QG5uLo4cOYKGhgaMHz8eTzzxRK+/qa+vx9KlSwEAX/3/9u47Pqoy3x/450xJZtJ7QhJakAABIyBLAJEqsuBeC6KiqyIW9Np317Y23F3bNv3JYkOvsuK9FuwsUlRAUEgoAqGFbkJ6SCNlZjLl/P4YZ0iZdiYzmXI+79drV+acM2eeeTJz5nue8n2++y4g0+SJwoGpbB+MR7bYH0eMvRzKlIEBLBERkXQh3SIEAAUFBVi1ahVmz56NyspKbN68GbGxsbj77ruxcuVKr1eeJyLnREMb9FvetT9WpAxCxJjLAlgiIiLvCCKXVw8anD7vWDhP+wwEX9SnbuObMB3fbn2gUCFq3p+gTMryRfFCEj+jvsX69L1wrtPeTp8P+RYhIupbxpM7zwVBACLGXSXrIIiIQhsDISLymKWtEfqtK+yPFWlDEJE/J3AFIiLqJQZCROQRUbRYF1Q1tFk3qCKhnb4YgoKXESIKXbyCEZFHjAe+hbnioP1x5KQboIhPD2CJiIh6j4EQEbllbiiHYcfH9seqQWOhHjYlgCUiIvINBkJE5JJoNkK/8U3AbAIACNp4RE5ZBEEQAlwyIqLeYyBERC4Zdn4KS8Np+2PNtNug0MQGsERERL7DQIiInDJVHIKx+NxafuqRM6Hqnx/AEhER+RYDISJySDS0WWeJwZpzVZGQiciCawNbKCIiH2MgREQ9iKII/dZ/Q2xrsG5QKKGZsRiCKjKwBSMi8jEGQkTUg+n4dphO7rA/jhg3D8qUQYErEBGRnzAQIqIuLC1noP9hpf2xst8wZo8morDFQIiI7ESL2TpV3qizblBroZl2B7NHE1HY4tWNiOw6dn0Oc80x+2PN5JugiE0JYImIiPyLgRARAQBM5QfQsXeN/bFq6EVQD50UwBIREfkfAyEigqW9CfpNy2GfKh+fAc3kmwJbKCKiPsBAiEjmRIsF+k3LIerOWjcoVdBccjcEtSawBSMi6gMMhIhkrmPvf2CuOGR/HDnxBiiTBwSwREREfYeBEJGMmaqPomP35/bHqsHjoB4xPYAlIiLqWwyEiGRK1LdC/90bgGgdFyTEpkDDVeWJSGYYCBHJkCiK0G1+69wSGoIS2pn/DSEyOrAFIyLqYwyEiGTo7M41MJftsz+OHD8fyrQhASwREVFgMBAikhlD5XHUf9dpCY3++VDnzw5giYiIAkcV6AIQUd8RDW2o+fIlwGICAAhRCdBMux2CwHsiIpInBkJEMiGKFug2LYe5qca6QRCgmXEXFNq4wBaMiCiAeBtIJBMdP63uMi4o4sKroMocHsASEREFHluEiGTAVLYPHbu/sD+OGjoOijG/CWCJiIiCA1uEiMKc5WwtdBvfhG0dMVViBlIvv5/jgoiIwECIKKyJJgN03/wL6Gi3blBFIGP+o1BqmC+IiAhgIEQUtkRRhH7LCljqT9u3aabciog0riNGRGTDQIgoTBkPfgfT8e32x+rzZ0N93oQAloiIKPgwECIKQ6bqYzBs/8D+WNlvGCILrglgiYiIghMDIaIwY2lvgv6bZYBoBvBL0sSZd0NQcJIoEVF3DISIwohoMUH/7WsQdc3WDQoltLPuhSIqPrAFIyIKUgyEiMKIYdv/wVx91P44ctJvoUw/L4AlIiIKbgyEiMJEx8HvYDy00f5YlXsR1COmB7BERETBj4EQURgwVRyCYdv/2h8rUgdDM3khBEEIYKmIiIIfAyGiEGdproHu21cB0QLAOjhae+n9EFQRAS4ZEVHwYyBEFMLEjnbo1r8CGNqsG5RqaGc/AEV0YmALRkQUIhgIEYUo0WKG7tvXYGmqtG/TTL0NytTBASwVEVFoYSBEFIJEUYThx/dhLj9g3xYx5r+YOZqISCIGQkQhyLh/PYyHN9kfqwaPQ8S4qwJYIiKi0MRAiCjEGE/thqHwI/tjRVoONNMXQxD4dSYikopXTqIQYq49Cf3GNwGIAAAhNgXaSx/gDDEiIi8xECIKEZaztdCt/3+AucO6IUIL7a9/x+UziIh6gYEQUQiw6M6i/et/QtSdtW4QlNDOug/KxKzAFoyIKMQxECIKcqLRAN26lyGerbFv00xdBFVWXgBLRUQUHhgIEQUx0WKC7ttXYak7Zd8W8av5UOdODmCpiIjCBwMhoiAliiIMW/8N8+li+zZ13kxEjL4sgKUiIgovDISIgpAoijAUfQzjka32barB4xA56bdcSJWIyIcYCBEFoY59a2AsXmt/rMzIteYKUvArS0TkS6pAF8AXTp06hVdffRW7d+9GfX09MjIyMGfOHNx5552IioqSdK7Nmzfj/fffx4EDB9DS0oKEhASMHTsWt99+Oy644AI/vQOiczoObULHjk/sjxXJ/aGdzVxBRET+EPK3l8XFxZg3bx5Wr16NlJQUTJs2De3t7XjjjTewYMECtLa2enyul156CXfeeSd++OEHZGVlYdq0aYiLi8OGDRtw/fXX4/PPP/fjOyECjMcLYfjhPftjIT4d2jkPQYiMDmCpiIjCV0i3CJlMJvz+979He3s7nnvuOcyfPx8AoNfr8bvf/Q4bN27ESy+9hKefftrtuXbt2oU333wTWq0Wb775JgoKCuz7PvzwQyxZsgRPP/00CgoKkJmZ6bf3RPJlKt0L/aa3YM8aHZ2IqLkPM2EiEZEfhXSL0Jo1a3D69GlMnDjRHgQBgEajwfPPP4+oqCh8/PHHaG5udnuuTz6xdkXcfvvtXYIgAFiwYAGmTp2Kjo4OrF+/3rdvggiA6fR+6L5ZBohmAICgiYV27sNQxKYEuGREROEtpAOhjRs3AgBmzZrVY19iYiIKCgpgNBqxdevWHvu702g0yM3NxYQJExzuz8nJAQDU1NQ43E/kLVPFIeg2LAUsJusGtRbaOb+HMpEtj0RE/hbSgdDRo0cBAMOGDXO4/7zzzgMAlJSUuD3XM888g9WrV2PcuHEO9+/btw8AkJGR4U1RiRwyVR35Zf0wo3WDWoOouX+AMnVwYAtGRCQTIR0I1dbWAgDS09Md7k9LS+tynLc2btyIn376CWq12mHrE5E3zNXHoFv3MmD6ZRFVVQS0v/4dlOnnBbZgREQyEtKDpdvb2wFYu7UcsW23HeeNI0eO4I9//CMA6/ihrCz/LXKpViuRmhrrt/OHunCqG13ZIVSv+ydg1AMABFUEMq57HNpB5/dZGcKpPoMF69S3WJ++xzrtKaRbhJRKJQC4zbQriqJX5y8uLsbChQvR1NSE6dOn4/777/fqPESd6UoPoPrDZyF2WIMgKFVIn/9InwZBRERkFdItQtHR0WhqaoJOp3O4X6+3/tBotVrJ5163bh0ee+wx6HQ6XHLJJXj55Zeh8HNWX6PRjKYm71uvwpXtDqauriXAJek9U/lB6Na/Aph/6Q5TqqC99H60xZ2Htj56f+FUn8GCdepbrE/fC+c6TUiIglqt9Pr5Id0iZBsDVFdX53C/bWyQ7ThPvfrqq3jwwQeh0+lwww03YOnSpYiIYFZf6h3T6f2/DIy2BUER0M7+HVT98wNbMCIiGQvpQMg2W+z48eMO99u2O5tV1p3FYsFjjz2GpUuXQqFQ4IknnsCSJUvsXXBE3jKe3Nl1dpgqAto5v4Mqe2RgC0ZEJHMhHQhNnToVABwmOWxsbERRURHUajUuuugij8735JNP4vPPP0dUVBRef/113HzzzT4tL8mTsWQL9N+9BlisyRKh1kA75w9QZY4IbMGIiCi0A6FZs2YhMzMTP/zwA/73f//Xvl2v1+OJJ55Ae3s75s+fj5SUc9l5jUYjTpw4gRMnTsBoNNq3f/HFF/j000+hUqnw2muv2YMsot7oKF4P/ZZ3ANuA/choRF32MFT9PGulJCIi/xJEb6dUBYmioiIsXrwYer0eI0eORHZ2Nvbs2YPa2lrk5eVh5cqViImJsR9fXl6OmTNnAgC+++47ZGdnw2w2Y+bMmaiqqkJ6ejrGjx/v9PUmT56MK6+80i/vhYOlHQvFQX6iKKJj9+fo+Okr+zYhKgHauQ9BmZQdwJKFZn0GO9apb7E+fS+c67S3g6VDetYYABQUFGDVqlVYtmwZduzYgePHjyM7Oxvz58/Hbbfd1iUIcubIkSOoqqoCYF1CY/Xq1U6PjYuL81sgROFBtJhh2PpvGI9ssW8TYlMRddnDUMRJG7hPRET+FfItQuGELUKOhdKdjGg0QPfdazCX7bNvUyRmWhdQjU4MYMnOCaX6DBWsU99iffpeONep7FuEiIKFRXcWunUvw1J3yr5NmT4U2tkPQNC4b5kkIqK+x0CIyAcsTdVoX/cyxLM19m2qQRdCM+NOCCrmoCIiClYMhIh6yVR5GLpvlgGGNvs2dd4MRE66EYKfs5ETEVHvMBAi6oWOku9h2PoeIJrt2yJ+NR8Roy9zuwYeEREFHgMhIi+IogWGolUwFq89t1GphmbaHVAPcZ5+gYiIggsDISKJREMbdJuWd5kZJmjjoJ39AJRpQwJYMiIikoqBEJEE5sZK6Da8ArH53KBoRVI2tLMfhCI2xcUziYgoGDEQIvKQ8eefoN+0HDDq7dtUA8dAM30xhAhtAEtGRETeYiBE5IZosViXy9jTNeN4xIVXImLs5RAEzgwjIgpVDISIXLC0N0O/8Q2YKw+f26jWQDN9MdSDxgauYERE5BMMhIicMFUdgf671yG2N9m3CfEZ0M6+H8qEzACWjIiIfIWBEFE3osWCjn1fo2PXp0CnpfhUOeOhmbKI44GIiMIIAyGiTixtjdBvWt61K0yhROTE66HOm8kkiUREYYaBENEvjD/vhv77d7oslSHEpkA7824o03ICWDIiIvIXBkIke6JRD0PhhzAe3txluypnPDQXL4QQGR2YghERkd8xECJZM1UdgX7z2xBb6s5tVEVCc9GNUOVOZlcYEVGYYyBEsiSaOmDY9RmMxesBnBsQrUgZBO2Mu6BIyAhc4YiIqM8wECLZMdcch/77d2Bpqjy3UVAgYsxvEDHmcghKfi2IiOSCV3ySDbFDB8POT2A8uBFdWoES+kEz7Q4OiCYikiEGQiQLptK90P/wHsS2hk5bBajzZyNy3DwIqoiAlY2IiAKHgRCFNUtrPQzbP4Dp1K4u2xWJmdBMuRXK9PMCVDIiIgoGDIQoLIlmEzr2r0fHT18Cpo5zOxRKRIy5HBGj50JQqgNXQCIiCgoMhCjsmMoPwrDtfViaqrpsV6YPReSUW6BMzJJ8zpqGdmwprkR9sx7J8RpMyc9EelJUr86RNzARh0obnT725DWklqumoR1rispQ26hDjEbpk/cxJd+67pqrchw8VY/Pt55CU6sBCTGRuOriwRg5ONnlOY+VN+HTLSeh05ug1ahw9ZQcTM7v2zXePKlfb+rUF58nIvINQRQ7LaZEAWU0mtHU1B7oYgSd1NRYAEBdXYvL4yxNVdAXfghz2b4u2wVNLCILroUq9yIIgkLy628trsSKr0vQ+YsiALhl7nBc7OEP89biSqxYWwIp3zYBwKicJGgjVQ5/LLcWV+Lfa0tg6XROhQAsnOO4XJ4e7ypg0xlMOHCqocv7EH75v+7vLTVeA7Mowmg0o0Vn6lGeyedn4NbL8iTVTWJMBIb2T/A4cHQXcEh9r93rS+rfwPacd78u6bF9kYTPU7jz9DtPngvnOk1IiIJarfT6+QyEgkioB0L+ust19wUW9a0w/PSldTaYaO60R4A6bzoif3W1y+zQrn4MNRFKbNlX5fB5AoDnF0/w6O7/8bcKJQVBzmgjlTCbRUREKNGmMzo9Z35OMrLSou3vpaKuFftPNMDR4QoBeO4O6/tw9MPuT7fOHY53JQaIzngSpHQOLh0FOp6+znN3TAAAPPFWocO66lynndU0tOOPywudnvsFDz5PchCIH+1wb6VjIOQcA6EgEsqBkDd3xp5y9gUWTQZ0HPgWHXvXAB1d602ZkYvIiTdAmTpIcrmlmHpBJhbOGd5je+eLatWZNpyua3Pw7OAxd8JAXJzfz+kPu79oI5XQGczuD/SQJ0GKL8ydMBAiRKwtLHN5zPxpQ7pse/2LA9hZUuv0Ob8akYb/vmKUz8oZqvr6R9uf169gwUDIOY4Rol6raWh3GExYRODfa0uQm53g0zsr0WKG8chWdOz+AmJ7U5d9QmwKIguug2rwOLfLYzgrtxRFh2sQpVV1uXvs61YVX9hZUoM9x+r6vMy+DIIA62dua3EVRIh+fS9nmnUeH9M5KN57rM7lcw6danC539/CvVXEkb6+flHwYSBEvbaluNLpj47th6n7nbE3RIsFphOFMPz0FcTm6q471VpEjLkMEaMu9TgnkKtye0rfYcbawjKsLyrDwjnDkZudEHJBEADUNekDXQSfKa9rhSbC+7tDT6TEayE67GjseozUoNj8y4GBCEgcldX2uQ6XVhFH+ur6RcGLgRD1Wn2z6x9RT+6eXREtZrQd2ob2zR/C0j0AUqqgzpuJiDG/gUITK+m87sothe3u8eL8zJALgsLN0dNNyExxPiastxQCcHF+PwDWQMHZGKERAxPw8sf7JH0eUhMcB0/+DkiCqVXEFzMbpfD39YuCHwMh6rXkeI3L/SnxWq/OK5o6YDy+HeUHN8BYX9FlnwUCKuPykTz5GsRmZ3t1fnfllsoiAkfLm9wfSH6l7zDjZOVZv5xbIQC3zBlh/2FeOGe44xmFc0bgUGmj5KBYpRB6nA/wf0ASLK0igQgC/XX9otDBQIh6bUp+pss7Y9vds6cs7c0wHtoI46GNEPVdB/ZZROCnjsFYr8tHbUM8FKVHsXCOwquLpKtyE3XWLzkKY4am4uL8fj0DEQHoHgmJEL1qcTxV7Xwgq0UEln5ajNFDU3zeShIMrSKBapXy9fWLQo/0pCpE3aQnRWHhnOFQdBub3P3u2R1zfRl0m99G2//9AR0/fdktCBKwu2MQXmy+HCvbLkatJR7AuYtkTYP02XbOyt0b2akxcDNGm/pY/7QYRGu8v+dTCMD9V+dj/rQhPXIQ/dvB1H/xl8+kNsL395lV9e1YW1iGJ94qxNbiSp+dNxhaRTxplfIHX12/KHSxRYh84uL8TORmJ2BrcRXONOuQEq91fPfcjShaYC4rRsf+9TBXHu55gDICsRdMw8a24Xh/u+Nup9403V+cn4mk2MguWY+njc5EdYMOZ5p1OFV1VtpA4u6tAxRw1fVtUKu8u+cTAIwcnIzPt57sMWjZ3Q83YP0x9UeLo69bSYKhVURKq5SvB5N7e/2i8MBAiHwmPSnMIOSDAAAgAElEQVTK42BENBpgPPoDOg5803MGGAAhKgHqkZcgYsQ0pPbvh9KVuwA4H3/j7UWye9bohrMGnKo8i1vmDsf8aUOw5J0ij96PTXltK+OgIGM0izCapU3T10QoMTQ7AQdO1WP/yXr79vVFZbhySg50BhOKDtW4PIeuw4SFc4b7bRahL8fu2FpFHOXS6atWEU9bpfw1jkjK9YvCCwMh6lOW1gYYD36LjpLvAUPPJIOKlEGIOP9SqHLGQ1Ce+3imJbpumnd1kVxXWOZwqYqahnaHA1NFACu+tt5t6zt8m+eGQoM2UomDp+p7dHtZROCz7096dA5rq0LXloYzzXqfDuT25didvmoVcXaj4kmrVDDNbqPwwUCI/E40m2Aq24u2/ZugqD4EoUfoIUA1aCzU518KZUauw0SIlxYMxOebjzu9sy6vbcWKtYetyfS6j9kAsP/kuUR1trvHExXNTltvRADripxnDXZEEIDc7ARU1YdmdnA6p8No6XUrTnltK1ZtPo4p+Zn2loaahnZJGa8jVAp0mCxO9/t67I6/W0Xctea4a5Va5eIawJw/5C0GQuQXoijCUl8G4/HtMB39EaK+Bd1T3OlFFVr6jcegaVdCEZfm8nyZqTEuuxmKO3VfuGO7e0yOc90Uf7S8CRq1hK+ICIwbnoqtPkjUSIFlMvf+D1h8sh7FJ+u7/NA764JyJj1Ji/LaNocBu4DQmtHkSWuOrVVq9/F61Da0I0aj6tIqVVHreqma8rpWfxWfwhgDIfIpS3M1jMeLYDpRCEuT41keZ8wx2GoYjkLDeehoisBzk2OQ7sG5Ozfdl9e1oPiE98sRWESg3dBzRfTOGlsMiI1Se3xOEcDh0iYMyYzDsQr/5LGhvqFSCjAYfXOu7t02nT/HP+6vRHOb8xeKilQ5H4AfYrMTPc1VlJ4UhYWXWa8I3dfFatW7/qO06nz0RyNZYSBEvWZpa4TpxA4YTxTCUnfK4TFGUYHijgEoNAzFMVMGxE5XcSnN2bam+xVrHcwwkyhKo0Kb3nkwpO8wSx4jtHlvBdpdnDOcREWqYLZYYDA677oJVTmZcV26U3ure7eN7XPsbuFWo1ns0dVrI4ZYV5AvchXFaF3/ZLnbT+QIPzUkmSiKsDRWwlxxAKbSvTBXlsDZnHFF+nkoah+Az8pS0S5GOjzGmwGfx8qbJT+nu7yBSdjSXOn0h8YbgQiC1EoBRh905Uj131eOxHvrj4TVOmU2pS4SG3rL0ec8b2Ciy0CortH1dyOUln/wRa6irNQYly3B2anSltkhAhgIkYcsbY0wVxyCqfwAzBWHIOqcByKKpGyohkyAekgBFHGpqN98HO2lzi/2gUhhrxCAXxcMQE5WHFY4SIoXSgIRBGWnRmNrcVXYdkWcbff9+3L0OT9U2ujyOS1u6lfKdyfQK8v7IldRMOQ7ovDDQIgcEjt0MFcdganiIMwVB2FpdJ3FVohNgXrIBKjOmwBlUte1v/xx8erN7KzOs1DSk6Ls4zU2/lTusivMlp3YVXdaOImNUiM1QYsxQ1Ow59gZNLUaoFQIqGvSo7yuDeV1rgeuAswv2VlGUs+gpTcL/0r57gTDyvK+yFUUDPmOKPwwECIAgGgxwVx7CuaKgzCXH4S59iQguhofI0CRMgCqrJFQDRoLRdoQh9PeAf9cvH5dMABbij3r1hIAnJ+TDE2kEinxWowYmIBDpY1448sD9jvj+dOGYM+xOpfBVVx0BFITNL0apB1KWtqNaGk34lTlWYzKSUKMViX5vTMIOmfz3kpM7hZ0eLvwr5TvTjDl3vFFriJmgSZfYyAkU6IowtJUBXPFQZjKD8JcVQIYXd+dCrEpUGWNhDJ7JJSZI6DQeN4f7+uLV3pSFG6ZM7xHt5YgAPOmDIHOYHL4OluLK/Hyx/sc3hm7a2XK7Z+AKI30YCDUdc/DRN6pdzCeR+rCv0lxkZiQl+Hwu+Os66uvV5Z31wXni1xFzAJNvsRASEYs7U3WcT4VB63jfNpcj09AZDRUmSOgzBoJVfZIt7l+3PH1xUtqcOXuzvh3117gtJVJEIBfjx+AM806l4NbiZxx1GIqNa/QhLwMh9+hrcWVPW4K1hWV4ZY5w/t0Da9g6IIjkoqBUBgTjfpfxvkcso7zaSh3/QSFCsqModbAJysPipRBEBTeLVbZV6QEV+7ujA+XNjltZVr0SzfEFh+u+E3yYraI9kzTnYOL7vmx9p9ocNql2Dlbte0cNQ3tDgf8iyKwYm0JprgJQHy1hlcwdcERScFAKAyJRgP0W96F6dROwOI6D44ieQCUWXlQZY+CMmMoBJXjKe7hwJM747NtBoc/KPuO16GqoQ3b9jtOEknkTku7EWsLy+wtNZ2Di84BvaOAxMZRtup1RWUucw21d5igEOD3Nbz6uguOyFcYCIUhU9k+mE4UOtwnRCdBlT0SyqyRUGblQaGN6+PSBY67gamiCPywv9rhvt1Hz/ijSCRDtpYaZ8GFJy1EnQOUo+VNLl+vvLa1T9bw8kXCRKJAYCAUhpTJ/QG1FjDqgAgtVJl5v7T6jIQQl+50dle4czcw9cApz9cro/DS19P8RRF47YsD6Jcc5XJA8arNx50OzreIwFv/OYTGFoPb13M3ns7bIKbzmKIzbs4RiHxhRJ5gIBSGFAn9EH3dixD1LVAk9IOg6L7caejqzWBOdwNTdQZpy2lQ+BAE+DypZqRa4XL5kdO1rThda10kdF1hGUblJEEbqeryuXYXoJysdL+mXW52AgDX4+m8yfrsqguvOyY7pGDGQChMKaLigaj4Pn1Nf2eu9cWMFF8u3ErhQ/Bxk9Ctc0dgbVGpx0k/u6cosH2uvc0zZCPAmnPLHalJT52NKXKEyQ4p2DEQIp/w97TZyrpWn81I8eXCrRQeVEoFzBbfLR67s6QGJrP35+uc0kFKnqHOBACL5krL2OxoxqSjIMbVwGjAumhtSrzGq3xhNQ3tWFNUhtpGHWI0yj5fCoTkJywCoVOnTuHVV1/F7t27UV9fj4yMDMyZMwd33nknoqKkfYFqamrw2muvYdu2baiurkZKSgpmzJiBe+65B0lJSX56B6GtL6bNbigq9fmMFF8s3ErhIS0hCqfrWn12Pl8koLSldJCSZwhwnXTRre6vIQKig6Yyd112KfEa3HXFKGmvDeYhosAI7iQxHiguLsa8efOwevVqpKSkYNq0aWhvb8cbb7yBBQsWoLXV84vb6dOncfXVV+PDDz+ERqPB9OnToVQq8f777+Oqq65CdbXjGUVy58m02d6qlbAKd01DO1ZtPo43vjyAVZuPo6bByzXJFAKiNGFxr0BuXDtjCIJxDkF5XQsuzs/Ec3dMwNwJAzF+RBr6p0W7fM75g5Mxf9oQya0w/15b4igOwr/XlvT4DvliJXlnZXB2Q+Xt95jInZAOhEwmE37/+9+jvb0dzz33HFatWoWlS5fi22+/xYwZM3DkyBG89NJLHp/vscceQ11dHe655x6sXr0aS5cuxfr167FgwQJUV1djyZIlfnw3oasvps2mJbq+sHZOCvfEW4VYW1iGHYdrsbawDE+8VYitDhIh2gaROnNxfj8kx/ZujAaFhv9sK/X5YGlfaNVZF/i1defedcUo5PRzM/bPi4BO6s3MlPxMKJy8jgCgTWeUfCPSFzdURI6EdCC0Zs0anD59GhMnTsT8+fPt2zUaDZ5//nlERUXh448/RnOz+y6QXbt2YdeuXRg0aBDuvfde+3alUoknn3wSmZmZ2Lx5M44fP+6X9xLK/HF32N2lBQOdXng9TQrX/YI8bniqy9ccNywVbQZjb4pNIeLIade5eAIlRqvusU3XYXL5HJ3Bul9Ky6jUmxnbmKLu30nhl//7fl+l2xuR3paByFdCOhDauHEjAGDWrFk99iUmJqKgoABGoxFbt271+FwzZ86EotuyEmq1GjNmzAAAfPfdd70tdthxdXfoq2mzmakxDi+8nWekSL2jPFTqeq21w6VNiI5k1xj11D8tBvlDkrxpfJEkOzWmxzZPbjyktIx6es7uunfZTb0gE3CQhsDTri1f3lD5qnuc5CGkA6GjR48CAIYNG+Zw/3nnnQcAKCkp8fhcubm5vT6X3Di7O/TFtNmahnas+M9B/G3lLlQ3tON3115gv/DOnTAQz90xAZN/CbSk3lF6cnxGsuvxGCRPOf3i8OA1o3HL3OF+HVtkW1us8w+5qxsPADhR0YwVX0sba+PtzUznLrsorcpp96InXVu+uqGSGgQShfTtbm1tLQAgPT3d4f60tLQux/XVueRI6krwnnA1g8TRDDGpd5Tuji8+UR+UA2gp8Dp3T3kztkgAMGV0JnQGE3QGMw6cqnd4Hkdri7lLDOqqm8/ZDEtn55RyM9Pbri1flIELv3rG3znfQk1IB0Lt7dY7G43G8Q+abbvtOE/OpdU6bn6Vci5vqdVKpKbG+u38/paaGotRwxwHklJV1rXi3+uOOL6grTuCCflZyOzWbTAxPwtrC8ucnnNCfmaX+r1y2lCs33EaFif9afoOZpomxwb0i4cRAlas9a6F+JLx/XH/dWPtjyvrWvHNjjKUVp3FrsM1jtcW6/S5nzdzGCbkZ7l8jjOtepPD60znc9Y2tCMtKQqzxg/o8T1zpn9GHHYcdn6jOKBfvNvrW2/LsMZFziWLCOw+Xo+Fl/nmGhWq9p1qwL9W7ety3Vu/4zTuu+YCXDJ+YABLFjgh3TWmVFqXjnC3dpbowS2bL89FvbehqNRpgGKxiPhmR8+AZ9+xOpfnLD7edeHUzNQY3HfNBVC46mcg6kahEDBr/AB8uumY1zPNvttVjspOeYsyU2Ow8LI8DMiIdRrQdP/ce/IcR9Jc3PnbzvnwTeOw8LI8jwMQ4JcJDU6+S7Y680RvyuAuzUatzMcKVda19giCAOtn61+r9nX5TMpJSLcIRUdHo6mpCTqd4w+/Xm9tqnXWytP9XAB8ci5vGY1mNDXJ+4tqc7ra9RpKZVXNqKtr6fVzLhichOduL8DW4ip8v7cCbXrXM3KIJo1Khxoi9hzxvpvcYhHx5ebj9i4qW1dF0aEal8/z5nPf3cDUqB7n8AU1gIW/Hua4a+vXw6GG6PHr2lqOpJYzRuN6XcUYjcov7z0UpKbGur3B7PyZDCUJCVFQq71fUzOkA6G0tDQ0NTWhrq4O/fv377HfNp7HNr7H3bkOHjyIujrHrQpSzkW9580MEm9nndgGfBYeqmYgRG79WFyNyyYMQqvOdWoFd8uX2cbMbC2uxIqveyYzdMSbz313h0ubMHJwsqTneMofYwWlkLJmmhzHyUhJTCsnId01Zpst5iy3j227s1ll/joX9Z43M0h6O+skWKbKayJc39kkxUVCG+n93Q/1jgjg+ZW7oTe4HkOmcHN11UaorLMiPQyCvPncO+LvH7vOM8k8yXDty6nuns5glevMMk8T08pNSAdCU6dOBQCsX7++x77GxkYUFRVBrVbjoosu8vhc33zzDSzdFl80Go32/EHTp0/vbbHJA95MyXeV5G3k4GR8vvWkywttsEyV7zC6/oGNVCuhVIb0VzfkteiMboMXlcrN30gA1haVehwESf3cO2P7sQuGXDvOApJvd5R6fc7u+Y26p9mQ81IeniSmlSPlM88880ygC+GtgQMH4quvvsLBgweRlJSE/Px8ANbxPI8++iiOHj2K6667DnPnzrU/x2g04ueff0ZjYyNiY2Ptg6T79euH77//HiUlJejo6MDEiRMhCALMZjOeffZZbN++HVOmTMGtt97qt/djsYjQ68Mnk3FNQzvWFpVi675KnKo+i5Q4jcNMuc4MTI9FQV46EuO1SInXYuSgJCyaOwJ5g5wvfmt7TqRaicTYSCTFaVDbpENNow4VZ9pwvLwZm34qR2JcJAamd53BsvtILSrOtHn9fn3F3Q9jq86IDqPvVkon/4iPioDOxczD+OgInK5tddnFpolQ4tJfDZD0uddGKl12gWgjVNh+sBoffHcMx8qb3X4v/KWmoR0vfbS3R0AiAth5uAZTx2TB23bPGK0aeYOSMG54GvIGJXW57qwtKnW64LII642Gq7oOVdHRkYiNjkCkUkDx8TNdrjO2QDtU37dGo+7VzaEghvg0qKKiIixevBh6vR4jR45EdnY29uzZg9raWuTl5WHlypWIiTk366C8vBwzZ84EYM0SnZ2dbd937Ngx3HjjjWhqakJOTg6GDh2Kw4cPo6ysDFlZWfjggw+c5hnyhXAaLO0oB5BCgFerSHs7cLKmoR1PvFXodLzAc3dM6HKHvWrzcZfT74mkiFQrYHARsPZPi4a+w4y6Juf5dxSCgEH9YnHVxYMljetx9P3zhKPvhb+4+77NnzEUc8f3HPvZW298ecDlNP/xI9Jw1xWjfP66gdb5OlrT0B6wcVz+0NvB0iHfvl5QUIBVq1Zh9uzZqKysxObNmxEbG4u77767RxDkztChQ/HZZ59h3rx5aGlpwaZNmwAAN910Ez7++GO/BkHhJFianqUuuZE3MLEPSkVy4SoIAqx5qjRq1+PSLKKIk5Vn8c+P9uGdNYc8fu3O3UNSlgLxx+Kmzrrg3CVg9NdU975YGzHYSR3HFe6CY3RoL+Xm5mLp0qUeHZudnY0jR4443Z+VlYUXXnjBV0WTJU8CkL6Yoik10627tceIXFEqALOEHkuVUoHEuAicdp3+yu6H/dUoyEv3uGXI9mO3avNxFJ9o8LhcvhxM7So7vLuAxFW+o96QMrOM5CHkW4Qo+ATLKtLuLrSnu63j5K7cRK5ICYIAayDkqlvMkY83OZ7V6orUz7WrFhEpA6zdtQznDUx0PnBXQgJGqfy5NiKFprBoEaK+5yoHR6Cbnm1lO1nheECkTVV9O6rqy7CusAyjcpJwpg8CoWiNirmKCIA1EJeqc+DkaR4cKXmGXLWIuGrdcTTuz13L8OHSJqdri913zWhkpsb4LflhoPMdUXBhIESSubsgBrLp2ZtBoiKA/Sc97zroDX8EQbFaNVrcJPej8KBUWpsxPAlKDp6qx+dbT6HewxZYVy0i3ixm6knL8PxpQxwGJL5as9AVW9chEQMhksTTC2JvV5H2ZdnCnSdBkFolwGiSWcUEmahIJTKSo3Gy0vmSGJERChg6nPexRaqVWLH2MLYWV/VY56zzd3DN9p/xw/5ql+URAJyfkwxNpNJti4g34/48bRkOloBEjpmmyYqBEEni6QUxEE3PrsrmjdQELVRKAVX1oZ/SQKlQwAjXiRrJv87LjocmQuUyEBrWP8HlwOaGswZs2ed8VpdFBD7bchI7S5xPDx82IAFDMuMlfR+9GfcXSoOSpXb7UXhhIESSSLkg9vWdnq8HO6uUAkYPTUFVfejnFgrxdGFhoa5JD62bZVyyU2Nx4bA0rFhb4vXK9q6CIAAwmiySv5fejPsLVMuwVN50+1F4YSBEkgR6ILQrUhefdKexxYAzTeGxCKFK6Tq5H/mfu5ZFWytJelKUvTV1z7E6n7dINrUaJD/H29adUBiUHCzpPihwGAiRJH3d3F3T0I41RWWobdQhRqN02W/vqmze0HeYsbPEwyQvQc7d+mUUWN1bSWytqeV1LT4PhBJiIiU/Jz0pCpNGZTgcdzTp/AyXgU2wjAFyJljSfVDgMBAiSfqyuVtqv72zsoUSAdaZQSazb9+A0cfnk4PUBA3ONOu97qJyJyczDinxGoetJLaBuycqnI8n8tZVFw+W/JyahnZsO+B48PW2/dW4bMKgoGrlkSKYW7mpbzAQIsn6ornb2377zmXzR7eC3wnWRTE5HT6w4qMj8Ne7JtmnoDe1GmDoMPs0/UFKvMbhmlZSUkCkJmjQ3NqBDpNn3Z6JsZHYWlyFQ6WNkmZFhXP3USgN6ib/YCAUhvpiGqi/m7t7c+G1le1Msy7kAiFRBHQGJlwMtA6TGS9/vBcHTjX4rUXIUUuD1BQQvxqejpKyRpcz0TprbDHYFxyVMisqnLuPQmVQN/kPA6EwEy7TQHtz4bUFglIz96r80CXlDVOo9uuFEZ3B7Nckm85aGqSmgBgxMAEZSVqPA6HOpMyK0ka4/qlwNxsu2IXCoG7yn9D+9FIX4TQN1Nt+e28yS9uYgyAIovDnqqVBagqIw6VNEOH959bTbi23rxEGX51gH9RN/sNAKIyEUz++p/32nbsBNRFKhxl3PeXN0zQRSug7PJuRJQCYMjoT1fVtOHLa9TpoFNz6JUchNUEjaVX3pLhITMjLcNnSIDUFhC+6pDw5h7vPuK6D3bkUurj6fBgJp358T1aI3lpciSfeKsTawjLsOFyLLfukBUEqH3z6ozzsElAIwKK5I7Dw18ORkxXf+xemgBozNBXXz8yF4GT1dEfOH5yM+dOGuGyVzRuYKKkcKfHaXufP8mRWFGdWUThji1AYCbeLla3ffvfxetQ2tCNGo7LfTftiXTEPJ9q45O5OWKkQMDAjFlddPBgjBycD8H0GbIUARKg9b5mi3rG1SG4prpTW+uhB0HSotFFSWfafqMfZdukJEm08nRWVNzARawudZ1gfMTDB6zIQBRpbhMLIlPzMHi0oNqE6DTQ9KQoLL8vDwzeN63I37et1xZyJj4lwuV9ncB18mC0iTlaexcsf78PW4koA1u40X8vtz1amvtC5RbKitk3Scz2ZDSg1SD5d14rmNuepFlLjNUiKi0RqgqZH65WUWVHuArTDpU0elZcoGLFFKIzIaRqor1tVnGlu7fDJeToPWBc8aRqQeG4pY1VIOrVKgSiNCldPyUFibASefW8Xfq6SNlOrc4ussxQX7lp1+yVHITs1xu2iqhEqJQ6cqkddp++JdbX5JGgjVZJnRYVTtztRdwyEwoxcpoFKHReRn5OM0toWnwU23rANWOfA0tBjNFnQ3NqBd74u8er5nVtkXaW4mJKfiXVFZQ673AQBuP/qfLz2+X6Xr9Xc2oHaxvYe5xAB7D/ZgPycZMkzzcKt252oM3aNhSHbNNC7rhjldnBmqHLVDdidIAAXDk9FclzvBpXmZMYhWtO7e4c9x+ok5zeSM0//xsHOth6XuxQXZ5p1zqcv/rK9zk3rTF2TzmW3cfHJeqwtLMMTbxXau2vdCcdudyIbBkIUkpzNKnNEFIF3vy5BbWPvmu9T4jVQKXv3lamqbw+5bNeBpPbF1L4gsG1/tb07zFWKi8+3nnIZBy39tBhmsw9G+eNc8FXT4P7z6MksTqJQxa4xClnduwHPNOtdZtht7eX6XSnxWhwROCi0LxmMvvnRDzRbt6i7sTZNra5ngHkSRKcmalHtYbBtEa3B1eihKW6X4pFLtzvJDwMhCmmds8H+v1V7/fY6tub/wz/X+32ckVIB+Oimn4LImWad26UqojVqNJz1fjo8APz2kqF4+eN9Hs+qtLZSlnm0FA+zL1M4Co92ZyIAjWf9E6B0bv4XFP7/yqTG+/8OW6UUkJMZ5/fXoXNS4rVuBylrI3uXWuHWuSMwcnCyx93GnUnpKiMKJ2wRorChN/p2Nla/5CiMGZrapfk/RqP26Ws4kpakQXWjf3+MIlRKpMRrvFqsMxxoI5Vuc0D5kq1F8fOtJ10eV1EnLTdRv+Qo9E+L6dFN1bkbq7yuBftPNHg0TyzUluIh8gUGQhQ2ejuQubv+aTE9fhCy0qJRfLLep6/TXXZqLC4cloZ3HUzVzs9JhiZSCW2ESnpm407Sk93nrAlHtta9xNgI/POjfV6fJyEmAgqFAKVCwJlmvcu/Q+cWRXd1bpaYJXTM0FSnQUvnbiwpixEzJxDJDQMhChtDs+N9OiPLUW4UV4vB+oKt5SA9KcrtwNScrDivlxlZ9JuRUEP063vpC6kJGpgtIhJiIjFmaAr2HDuDplYDEmIicdXFg5ESr3Vah5PPz8AP+6slv6ZCAB69Yaz9PDUN7V2WgRkxMAGHS5scvqa7xYRT47U4XedZegUp09Y7txDtOVbn8nvCnEAkN4IoentPSb5mNJrR1MT++e5SU2MBAHV1LS6Pq2lox+PLC71aRb47hQA8d8cEhzNipNxddzd+RBoA69IcB07Vd2lJsLUcTJaQk6WmoV1y98es8QNw/3VjUFfX0qv30tesmZGtLWK+mrF08FQ9Pt96yh48TRudieoGHc406yT9jTz9jAKOPz9SW6q8+azY1DS044m3Cp0GY84+931JSn2SZ8K5ThMSoqBWez++joFQEGEg5JjUH5kVX5f0CAhsXUqOfty68+RHxhaAnGnWoeJMm0djOy7O74dFc0c4PIcvftidBTWdW02uungwpo0fBOBcfXYuh6P66RyAePpefWHcsFSkJUYFdKq2p38jqT8yrs77zppDDluqslOjkZkS7bfPSm+CK18L5x/tQAnnOmUgFEYYCDnmyx8ZR/tddWV4qnvLgqNuGtvq8/7kyQ+3u/p0d47u79VRF1T3OnX3OCNJi817K/u8vnzF1z8yjurY1/Xh60Dcl8L5RztQwrlOGQiFEQZCjoXzFzgQWJ++xzr1Ldan74VznfY2EGIeISIiIpItBkJEREQkWwyEiIiISLYYCBEREZFsMRAiIiIi2WIgRERERLLFQIiIiIhki4EQERERyRYDISIiIpItBkJEREQkWwyEiIiISLYYCBEREZFsMRAiIiIi2WIgRERERLIliKIoBroQZCWKIkwmS6CLEXTUaiUAwGg0B7gk4YH16XusU99iffpeONepSqWAIAheP5+BEBEREckWu8aIiIhIthgIERERkWwxECIiIiLZYiBEREREssVAiIiIiGSLgRARERHJFgMhIiIiki0GQkRERCRbDISIiIhIthgIERERkWwxECIiIiLZYiBEREREssVAiIiIiGSLgRARERHJFgMhIiIiki0GQkRERCRbDISIiIhIthgIERERkWwxECIiIiLZYiBEAff9999j0aJFGDduHEaNGoWZM2fiL3/5C86cOePw+G3btmHRokWYOHEixowZg6uvvhqrVmJrOx4AABC6SURBVK2CKIp9XPLg8fPPP2P06NH485//7PQYqfVmMpnw0UcfYd68eRg7dizGjx+P2267DUVFRf56G0HDXX3qdDq89tpruOKKKzB69Gjk5+djzpw5+Mc//oGmpiaHz5FzfQKefUY7a21txSWXXIJhw4ahvLzc4TFyrlNP6vPo0aP4wx/+gMmTJ2PUqFGYPHkyHnnkEZSVlTk8Xq71yUCIAurdd9/F4sWLsX37dgwdOhRTp05FR0cH3n//fVx55ZU9vrAffPABFi1ahJ07dyIvLw8FBQU4ceIEnnzySTz++OMBeheBdebMGdx9993Q6XROj5Fab6Io4tFHH8XTTz+N8vJyTJo0Cbm5udi2bRsWLlyITz/91J9vKaDc1WdTUxOuvfZavPLKK6ioqMCYMWMwfvx4NDQ04K233sK8efNQXV3d5Tlyrk/As89od8888wxOnz7tdL+c69ST+tywYQPmzZuH//znP0hLS8PUqVMRERGBL7/8Etdcc02Pa6uc6xMiUYCUl5eLI0eOFEeNGiUWFhbatxsMBvGBBx4Qc3NzxcWLF9u3nzx5UhwxYoQ4duxY8eDBg/btFRUV4iWXXCLm5uaKa9eu7dP3EGiHDh0SZ82aJebm5oq5ubnin/70px7HeFNvq1atEnNzc8UrrrhCbGxstG/ftm2beP7554vnn3++WFlZ6b83FiCe1Ofjjz8u5ubmijfeeKNYX19v397c3CzedtttYm5urnj77bd3eY5c61MUPavT7r788kv78bm5ueLp06d7HCPXOvWkPsvLy8XRo0eLI0eOFFevXm3f3tHRIT711FNibm6ueMstt3R5jlzrUxRFkS1CFDDbt2+H0WjERRddhIKCAvv2iIgIPPjggwDQpUn27bffhtlsxm233Ya8vDz79szMTDz99NP2Y+SgubkZf//733HttdeitLQU2dnZTo/1pt7efPNNAMCTTz6JhIQE+/aJEydi4cKFMBgMWLlypS/fUkB5Wp96vR7/+c9/AAAvvvgikpKS7Pvi4uLw17/+FYIgYOvWrWhsbLTvk1t9AtI+o52dPn0af/rTnzBy5EhERUU5PU5udSr1O9/e3o7bbrsNv/nNb+zb1Wo1Hn30UfTr1w9nzpyBwWCw75NbfXbGQIgCRqlUAgBqa2t77LOND0pMTLRv27RpEwDg0ksv7XH8pEmTEBsbi/3796OmpsYfxQ0q7733Ht5++20kJSXh9ddfx5VXXun0WKn1dvz4cZSVlSE5ORkXXnhhj+fMnj0bAPDdd9/54q0EBU/rs76+HiNHjsTYsWORlZXVY39ycjLi4+MhiqL9cy3H+gSkfUZtTCYTHnroIZjNZvzjH/+wXyO6k2OdSqnPdevWQalUYtGiRT32RUdHY/PmzVi9ejUiIyMByLM+O2MgRAEzceJEqNVqHDx4EEuWLEFFRQV0Oh22b9+OP/7xjwCAxYsXA7AGRvX19VCr1cjJyelxLqVSad9+5MiRvnsTAZKRkYFHH30U69evx4wZM5we5029HT16FAAwdOhQCILQ4zm27WVlZZLGfAQzT+szKysL//d//4cPPvjA4f7S0lI0NTVBoVAgPT0dgDzrE/C8TjtbtmwZ9u7di8cee8zh59VGjnXqaX2Wl5ejoaEBgwcPRkJCAkpLS/HGG2/giSeewN/+9jfs2rWrx3PkWJ+dqQJdAJKvjIwMvPzyy3jiiSfw4Ycf4sMPP7TvS0xMxLJlyzBr1iwA51qNUlJSoFA4jt/T0tK6HBvOrrnmGo+O86bebP+1/ZB3FxkZibi4ODQ3N+PMmTPo37+/pLIHI0/r051//OMfAKwtbbbuBTnWJyC9Tnft2oXly5dj+vTpWLBggctj5VinntZnaWkpAOv3+p133sFLL70Eo9Fo3/8///M/uPzyy/Hcc88hIiICgDzrszO2CFFA5eXl4dJLL4VKpcKYMWMwffp0pKWlobGxEcuXL7fPGmlvbwcAaDQap+eyNfPajiXv6q2trc3j59iOJeCNN97Ahg0boNFo8Mgjj9i3sz7dO3v2LB5++GEkJibi+eefd3s869S5lpYWAMCBAwfwt7/9Dddddx02bNiAnTt3YunSpUhJScFXX32Fv/3tb/bnyL0+2SJEAXP48GEsWrQIkZGRWLVqlX0gr9FoxEsvvYR33nkHN910E77++mt7a4ajZtvuRBnnE+rOm3qzjcvw5DlktXTpUrz66qtQKBR4/vnnMWzYMPs+1qd7Tz31FCorK7F8+fIuA9CdYZ06ZxsAffbsWVx33XV46qmn7Ptmz56N9PR0LFiwAB988AHuuOMOpKeny74+2SJEAfPss8+isbERTz31VJfZTGq1Go888gguvPBCVFVV4ZNPPkF0dDQA66wdZ2wXAFczTeTGm3qT8hytVuuTcoaqjo4OPPLII3j11VehUqnw17/+FZdddlmXY1ifrn3yySdYt24dbrzxRkydOtWj57BOnev8fhcuXNhj/+jRozFy5EiYTCbs3LkTAOuTLUIUEAaDAT/99BMEQcBFF13UY78gCJg6dSp2796NAwcO4PLLLwdgHfwriqLDOxdbP7dtzAud6/OXUm+259TV1Tk8p8FgwNmzZyEIAlJTU/1R7JBQX1+Pe+65B3v27EFMTAxeeeUVTJ48ucdxrE/XnnvuOQDWz+FDDz3UZZ/th/mFF16AVqvFggULMG7cONapC8nJyfZ/O5tin52djQMHDthTPMi9PhkIUUCcPXsWFosFCoXC6RRZ23aTyYSEhASkp6ejpqYGpaWlGDRoUJdjzWYzTp48CQBduiXkzpt6s/332LFjDs957NgxiKKIAQMGyLb1raysDLfccgsqKiqQnZ2NN954A0OHDnV4LOvTNdvYtA0bNjg95ttvvwVgHYQ+btw41qkLubm5EAQBoiiipqYGAwYM6HGMLT2JLWiSe32ya4wCIjk5GQkJCbBYLNi8ebPDY3788UcAwIgRIwDA3mzu6IL5448/oqWlBcOHD0dGRoZ/Ch2ipNbbwIEDMWjQINTW1mLv3r09nrNu3ToAwLRp0/xX6CBWU1ODm2++GRUVFcjPz8fHH3/sNAgCWJ/uHDlyxOn/YmNjAVjz1xw5cgTz5s0DwDp1JTY2FuPGjQMAfPXVVz3219XV4dChQ1AqlfacQXKvTwZCFBAKhQLXX389AGvTuC2PBQBYLBYsW7YM27ZtQ1xcHK6++moAwG9/+1solUq8+eabXb6slZWV+Mtf/gIAuPPOO/vwXYQGb+rt5ptvBmAdxNp58dvt27fjvffeg1qtxq233toHpQ8+Dz/8MKqqqjBs2DCsWLGiS1eEM6xP32OdOnfHHXcAAJYvX47vv//evr21tRWPP/442tvbMXfu3C7T5eVcn+wao4C55557UFJSgk2bNuGKK67A2LFjER8fj5KSElRUVCAqKgqvvPKKfRbJ8OHD8eCDD+Kf//wnbrjhBowfPx4ajQZFRUVob2/HNddcg7lz5wb4XQUfb+rt+uuvx5YtW7B582bMnj0bBQUFaGlpwa5duyCKIl588UX069cvQO8ocH788Uf7si+xsbFYsmSJ02MfeOABe74V1qfvsU6dmzp1Ku677z7861//wuLFi5Gfn4/k5GTs27cPDQ0NyM3NxZNPPtnlOXKuTwZCFDBqtRqvv/46PvvsM3z22WcoKSmBwWBAWloarr32Wtxxxx09+rcXL16MIUOGYMWKFSguLoYgCBgyZAiuv/56XHXVVQF6J8FPar0pFAosW7YM77//Pj777DP88MMPiImJwaRJk3DnnXdi/PjxAXgXgWdbrgSAwwy9nS1cuNAeCLE+fY916tq9996LCy+8ECtWrMDevXtx5MgRZGVl4YYbbsBtt93WY6yPnOtTEJl0hYiIiGSKY4SIiIhIthgIERERkWwxECIiIiLZYiBEREREssVAiIiIiGSLgRARERHJFgMhIiIiki0GQkRERCRbDISIiIhIthgIERERkWwxECIiIiLZ4qKrRBQ2ysvLMXPmTKf71Wo1YmJiMGjQIEybNg033ngjYmJiAAA33XQTduzYIfk1X3jhBcybN6/Ltl27duGLL77Azp07UVtbC1EUkZSUhLy8PMycORP/9V//BZWKl1+iYMBvIhGFpdzcXHuQY2M0GtHQ0IA9e/Zgz549+Oijj7BixQoMHDgQubm5MJlMPc5z4MABdHR0oF+/fujXr1+P/cnJyfZ/WywWPPXUU/jkk08AAAkJCRg8eDCUSiWqqqrwzTff4JtvvsHbb7+NN998E9nZ2T5+10QkFVefJ6Kw0blF6L333kNBQYHD44qKinD33XejtbUVY8aMwYcffuj0nDNmzEBFRQXuvfde3HfffS5ff+nSpXj11VeRmpqKv//975gwYQIEQbDv37t3Lx599FH8/PPPGDRoEFavXo2IiAgv3ikR+QrHCBGR7BQUFOD3v/89AGDPnj04cOBAr8+p0+mwYsUKAMDzzz+PiRMndgmCAGD06NF4/fXXERkZiZ9//hlffvllr1+XiHqHgRARydKsWbPs/963b1+vz3fq1Cm0tbUBAC644AKnx+Xk5OBXv/oVAKC4uLjXr0tEvcMxQkQkS7GxsfZ/2wKY3lCr1fZ/b9q0CVdeeaXTY//85z9Dr9cjLS2t169LRL3DQIiIZKm0tNT+74yMjF6fLycnB1lZWaioqMCTTz6JAwcO4IorrsCoUaN6dJFlZWX1+vWIyDfYNUZEsvTuu+8CsLbkTJo0qdfnUyqVeOaZZ6BSqWA0GrFy5UrMnz8fEydOxH333YcVK1agpKSk169DRL7FFiEikg29Xo+TJ0/io48+whdffAEAuOWWW5CSkuKT80+ZMgUrV67EkiVLcPToUQBAY2MjNmzYgA0bNgCwtgbddNNNuOmmm5hLiCgI8FtIRGHp5ptvdnvMNddcgwceeMCnrzt27Fh89dVX2LNnD7799lsUFhbi8OHDsFgsAICKigq8+OKLWLNmDd59990uY5WIqO8xECKisNQ9oaIgCIiMjERCQgKGDRuGSy65BOedd55fXlsQBIwdOxZjx44FALS0tGDnzp3YsmULVq9ejdbWVuzfvx9LlizBSy+95JcyEJFnmFCRiMKGpwkVpZCSUNETzc3NuPfee7Fjxw4oFAr8+OOPSEpK6vV5icg7HCxNROQDd911F2bOnGkfe+RMfHw8/vznPwOwLsnRefYaEfU9BkJERD7Q2tqK8vJybNy40e2xqamp9n+zNYgosBgIERH5wOWXXw4A+Oabb7B9+3aXx65ZswaANfdQ//79/V42InKOgRARkQ9ceeWVGDNmDCwWC+666y4sW7YMdXV1XY5pbW3FO++8g7/85S9QKBR49NFHoVDwMkwUSJw1RkTkAxEREVi+fDkeeughfP/99/jXv/6FZcuWITs7G4mJiWhra0NpaSlMJhOioqLw7LPPYtq0aYEuNpHsMRAiIvKRuLg4LF++HIWFhVi/fj127dqFM2fOoLq6GtHR0Rg+fDimTZuGa6+9Funp6YEuLhGB0+eJiIhIxtg5TURERLLFQIiIiIhki4EQERERyRYDISIiIpItBkJEREQkWwyEiIiISLYYCBEREZFsMRAiIiIi2WIgRERERLLFQIiIiIhki4EQERERyRYDISIiIpItBkJEREQkWwyEiIiISLYYCBEREZFsMRAiIiIi2WIgRERERLLFQIiIiIhki4EQERERydb/B3iDOR0QBHdyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_hat = logic_model.predict_proba(df[[\"PTS\"]])\n",
    "jittered_data = df[\"WON\"] + np.random.uniform(-0.1, 0.1, len(df[\"WON\"]))\n",
    "plt.plot(df[\"PTS\"], jittered_data, '.')\n",
    "plt.plot(df[[\"PTS\"]], y_hat[:, 1])\n",
    "plt.xlabel(\"PTS\")\n",
    "plt.ylabel(\"WON\")\n",
    "plt.savefig('WON_vs_PTS_small_dots.png', dpi=300, bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can count how many games our model gets right and how many it gets wrong."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_hat_class = logic_model.predict(df[['PTS']])\n",
    "correctly_prediction = df[y_hat_class == df['WON']]\n",
    "incorrectly_prediction = df[y_hat_class != df['WON']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>TEAM_NAME</th>\n",
       "      <th>GAME_ID</th>\n",
       "      <th>PTS</th>\n",
       "      <th>WON</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>415</th>\n",
       "      <td>Utah Jazz</td>\n",
       "      <td>21800210</td>\n",
       "      <td>68</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2031</th>\n",
       "      <td>Detroit Pistons</td>\n",
       "      <td>21801014</td>\n",
       "      <td>74</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000</th>\n",
       "      <td>Detroit Pistons</td>\n",
       "      <td>21801003</td>\n",
       "      <td>75</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2092</th>\n",
       "      <td>Charlotte Hornets</td>\n",
       "      <td>21801045</td>\n",
       "      <td>75</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>796</th>\n",
       "      <td>Orlando Magic</td>\n",
       "      <td>21800397</td>\n",
       "      <td>76</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              TEAM_NAME   GAME_ID  PTS  WON\n",
       "415           Utah Jazz  21800210   68    0\n",
       "2031    Detroit Pistons  21801014   74    0\n",
       "2000    Detroit Pistons  21801003   75    0\n",
       "2092  Charlotte Hornets  21801045   75    0\n",
       "796       Orlando Magic  21800397   76    0"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "correctly_prediction.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1749"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(correctly_prediction)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>TEAM_NAME</th>\n",
       "      <th>GAME_ID</th>\n",
       "      <th>PTS</th>\n",
       "      <th>WON</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>321</th>\n",
       "      <td>Memphis Grizzlies</td>\n",
       "      <td>21800158</td>\n",
       "      <td>89</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>532</th>\n",
       "      <td>Los Angeles Lakers</td>\n",
       "      <td>21800278</td>\n",
       "      <td>90</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>941</th>\n",
       "      <td>Chicago Bulls</td>\n",
       "      <td>21800474</td>\n",
       "      <td>90</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1943</th>\n",
       "      <td>Miami Heat</td>\n",
       "      <td>21800965</td>\n",
       "      <td>91</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>827</th>\n",
       "      <td>Memphis Grizzlies</td>\n",
       "      <td>21800410</td>\n",
       "      <td>92</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               TEAM_NAME   GAME_ID  PTS  WON\n",
       "321    Memphis Grizzlies  21800158   89    1\n",
       "532   Los Angeles Lakers  21800278   90    1\n",
       "941        Chicago Bulls  21800474   90    1\n",
       "1943          Miami Heat  21800965   91    1\n",
       "827    Memphis Grizzlies  21800410   92    1"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "incorrectly_prediction.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "711"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(incorrectly_prediction)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also compute the overall accuracy of our classifier in a straightforward way."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7109756097560975"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "accuracy = len(correctly_prediction) / len(df)\n",
    "accuracy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see our model gets 70% of the games correct.\n",
    "Another way to look at the situation: Our model gets all of the orange points to the left of the black line wrong, and all of the blue points to the right of the black line wrong."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "winning_games = df['WON'] == 1\n",
    "losing_games = ~winning_games\n",
    "\n",
    "plt.plot(df.loc[winning_games, 'PTS'], jittered_data[winning_games], 'r.')\n",
    "plt.plot(df.loc[losing_games, 'PTS'], jittered_data[losing_games], 'b.')\n",
    "plt.axvline(111.12, color='black')\n",
    "plt.xlabel('PTS')\n",
    "plt.ylabel('WON')\n",
    "plt.savefig('WON_vs_PTS_one_dimensional_logistic_regression.png',\n",
    "            dpi=300,\n",
    "            bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Two Feature Model\n",
    "By using additional features, we can get better accuracy. Let's include some additional features in our dataframe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>TEAM_NAME</th>\n",
       "      <th>GAME_ID</th>\n",
       "      <th>PTS</th>\n",
       "      <th>REB</th>\n",
       "      <th>AST</th>\n",
       "      <th>STL</th>\n",
       "      <th>BLK</th>\n",
       "      <th>FGA</th>\n",
       "      <th>WON</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Golden State Warriors</td>\n",
       "      <td>21800002</td>\n",
       "      <td>108</td>\n",
       "      <td>58</td>\n",
       "      <td>28</td>\n",
       "      <td>7</td>\n",
       "      <td>7</td>\n",
       "      <td>95</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Oklahoma City Thunder</td>\n",
       "      <td>21800002</td>\n",
       "      <td>100</td>\n",
       "      <td>45</td>\n",
       "      <td>21</td>\n",
       "      <td>12</td>\n",
       "      <td>6</td>\n",
       "      <td>91</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Philadelphia 76ers</td>\n",
       "      <td>21800001</td>\n",
       "      <td>87</td>\n",
       "      <td>47</td>\n",
       "      <td>18</td>\n",
       "      <td>8</td>\n",
       "      <td>5</td>\n",
       "      <td>87</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Boston Celtics</td>\n",
       "      <td>21800001</td>\n",
       "      <td>105</td>\n",
       "      <td>55</td>\n",
       "      <td>21</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>97</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Minnesota Timberwolves</td>\n",
       "      <td>21800010</td>\n",
       "      <td>108</td>\n",
       "      <td>46</td>\n",
       "      <td>20</td>\n",
       "      <td>9</td>\n",
       "      <td>2</td>\n",
       "      <td>91</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                TEAM_NAME   GAME_ID  PTS  REB  AST  STL  BLK  FGA  WON\n",
       "0   Golden State Warriors  21800002  108   58   28    7    7   95    1\n",
       "1   Oklahoma City Thunder  21800002  100   45   21   12    6   91    0\n",
       "2      Philadelphia 76ers  21800001   87   47   18    8    5   87    0\n",
       "3          Boston Celtics  21800001  105   55   21    7    5   97    1\n",
       "4  Minnesota Timberwolves  21800010  108   46   20    9    2   91    0"
      ]
     },
     "execution_count": 104,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = orig.copy()\n",
    "df[\"WON\"] = df[\"WL\"]\n",
    "df[\"WON\"] = df[\"WON\"].replace(\"W\", 1)\n",
    "df[\"WON\"] = df[\"WON\"].replace(\"L\", 0)\n",
    "df.head(5)\n",
    "df = df[[\n",
    "    \"TEAM_NAME\", \"GAME_ID\", \"PTS\", \"REB\", \"AST\", \"STL\", \"BLK\", \"FGA\", \"WON\"\n",
    "]]\n",
    "df.head(5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This time, let's create a model that uses PTS and REB (rebounds). This additional information should allow us to make better predictions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='ovr', n_jobs=1,\n",
       "          penalty='l2', random_state=None, solver='liblinear', tol=0.0001,\n",
       "          verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 106,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logistic_regression_model_2_features = LogisticRegression(penalty='l2')\n",
    "logistic_regression_model_2_features.fit(df[[\"PTS\", \"REB\"]], df[\"WON\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looking at our predictions, we see that they are now slightly more accurate, at 74.6%. It seems that knowledge about the number of rebounds helps."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7426829268292683"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_hat_class = logistic_regression_model_2_features.predict(df[[\"PTS\", \"REB\"]])\n",
    "#, \"AST\", \"STL\", \"BLK\", \"FGA\"]])\n",
    "correctly_predicted_games = df[y_hat_class == df[\"WON\"]]\n",
    "incorrectly_predicted_games = df[y_hat_class != df[\"WON\"]]\n",
    "num_correct = len(correctly_predicted_games)\n",
    "total_games = len(df)\n",
    "accuracy = num_correct / total_games\n",
    "accuracy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Algebraic Two Dimensional Logistic Regression\n",
    "What's going on behind the scenes is a simple generalization of what we saw before. Now, our model has three parameters $\\theta_0$, $\\theta_1$, and $\\theta_2$, where $\\theta_1$ and $\\theta_2$ are the coefficients of $\\text{PTS}$ and $\\text{REB}$.\n",
    "\n",
    "That is, the output is given by $\\sigma(\\theta_0 + \\theta_1 \\times \\text{PTS} + \\theta_2 \\times {REB})$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-10.85725605])"
      ]
     },
     "execution_count": 108,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logistic_regression_model_2_features.intercept_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.06980923, 0.06918849]])"
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logistic_regression_model_2_features.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.27426917, 0.72573083]])"
      ]
     },
     "execution_count": 110,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logistic_regression_model_2_features.predict_proba([[110, 60]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1], dtype=int64)"
      ]
     },
     "execution_count": 111,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logistic_regression_model_2_features.predict([[110, 60]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Visual Two Dimensional Logistic Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "xx, yy = np.meshgrid(np.linspace(80, 130, 10), np.linspace(30, 70))\n",
    "xx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [],
   "source": [
    "p_win = logistic_regression_model_2_features.predict_proba(np.c_[xx.ravel(),\n",
    "                                                                 yy.ravel()])[:,\n",
    "                                                                              1]\n",
    "p_win = p_win.reshape(xx.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.03928396, 0.05683797, 0.08156998, 0.11574302, 0.1617118 ,\n",
       "        0.22136712, 0.29527759, 0.38176604, 0.47645993, 0.57287704],\n",
       "       [0.04147193, 0.05994262, 0.08590252, 0.12165023, 0.16951537,\n",
       "        0.23125528, 0.30716482, 0.39518261, 0.49056374, 0.58663687],\n",
       "       [0.0437762 , 0.0632055 , 0.09044253, 0.12781535, 0.17761572,\n",
       "        0.24144816, 0.31931376, 0.40875895, 0.50468258, 0.60026274],\n",
       "       [0.04620233, 0.06663339, 0.09519748, 0.13424516, 0.18601645,\n",
       "        0.25194307, 0.33171316, 0.42247589, 0.51879396, 0.61373519],\n",
       "       [0.04875606, 0.07023325, 0.1001749 , 0.14094615, 0.19472044,\n",
       "        0.26273615, 0.34435046, 0.43631346, 0.53287542, 0.6270357 ],\n",
       "       [0.05144334, 0.07401218, 0.10538224, 0.14792448, 0.20372976,\n",
       "        0.27382235, 0.35721187, 0.4502509 , 0.5469047 , 0.64014676],\n",
       "       [0.05427028, 0.07797737, 0.11082694, 0.15518589, 0.21304564,\n",
       "        0.28519538, 0.37028236, 0.46426687, 0.56085986, 0.65305194],\n",
       "       [0.05724319, 0.08213616, 0.11651631, 0.16273568, 0.22266839,\n",
       "        0.29684769, 0.38354573, 0.47833952, 0.57471944, 0.66573597],\n",
       "       [0.06036856, 0.08649595, 0.12245752, 0.17057861, 0.23259731,\n",
       "        0.30877043, 0.39698469, 0.49244663, 0.58846256, 0.6781848 ],\n",
       "       [0.06365304, 0.09106419, 0.12865756, 0.17871883, 0.24283065,\n",
       "        0.32095346, 0.4105809 , 0.50656577, 0.60206906, 0.69038563],\n",
       "       [0.06710347, 0.09584838, 0.13512317, 0.18715986, 0.25336558,\n",
       "        0.33338534, 0.42431511, 0.52067446, 0.61551963, 0.70232692],\n",
       "       [0.0707268 , 0.10085603, 0.1418608 , 0.19590447, 0.26419808,\n",
       "        0.34605337, 0.43816721, 0.53475024, 0.62879586, 0.71399845],\n",
       "       [0.07453015, 0.10609461, 0.14887657, 0.20495464, 0.27532293,\n",
       "        0.35894356, 0.45211638, 0.54877089, 0.64188038, 0.72539128],\n",
       "       [0.07852075, 0.11157153, 0.15617616, 0.21431145, 0.28673368,\n",
       "        0.37204074, 0.46614118, 0.56271453, 0.65475692, 0.73649777],\n",
       "       [0.08270592, 0.11729407, 0.16376478, 0.2239751 , 0.2984226 ,\n",
       "        0.38532855, 0.48021971, 0.57655976, 0.66741036, 0.74731153],\n",
       "       [0.08709308, 0.12326941, 0.17164714, 0.23394475, 0.31038067,\n",
       "        0.39878956, 0.49432973, 0.59028581, 0.67982683, 0.75782744],\n",
       "       [0.09168969, 0.12950449, 0.1798273 , 0.24421852, 0.32259759,\n",
       "        0.41240532, 0.50844878, 0.60387261, 0.69199367, 0.76804155],\n",
       "       [0.09650326, 0.13600602, 0.18830868, 0.25479339, 0.33506173,\n",
       "        0.42615643, 0.52255437, 0.61730096, 0.70389955, 0.77795109],\n",
       "       [0.10154128, 0.14278041, 0.19709395, 0.26566522, 0.34776022,\n",
       "        0.4400227 , 0.53662407, 0.6305526 , 0.71553439, 0.78755438],\n",
       "       [0.10681122, 0.14983371, 0.20618497, 0.2768286 , 0.36067893,\n",
       "        0.4539832 , 0.55063571, 0.6436103 , 0.72688944, 0.7968508 ],\n",
       "       [0.11232048, 0.15717156, 0.21558273, 0.28827693, 0.3738025 ,\n",
       "        0.46801645, 0.56456745, 0.65645793, 0.73795722, 0.80584071],\n",
       "       [0.11807634, 0.16479911, 0.22528726, 0.3000023 , 0.38711445,\n",
       "        0.48210047, 0.57839797, 0.66908054, 0.74873153, 0.81452539],\n",
       "       [0.12408592, 0.17272097, 0.23529761, 0.31199553, 0.40059719,\n",
       "        0.49621299, 0.59210658, 0.68146441, 0.75920738, 0.82290697],\n",
       "       [0.13035616, 0.18094113, 0.24561174, 0.32424611, 0.41423214,\n",
       "        0.51033154, 0.60567334, 0.69359707, 0.769381  , 0.83098839],\n",
       "       [0.13689373, 0.18946291, 0.25622649, 0.33674229, 0.4279998 ,\n",
       "        0.52443364, 0.61907916, 0.70546735, 0.77924976, 0.83877327],\n",
       "       [0.14370498, 0.19828887, 0.26713754, 0.349471  , 0.44187986,\n",
       "        0.53849687, 0.6323059 , 0.71706535, 0.78881214, 0.84626591],\n",
       "       [0.15079592, 0.20742077, 0.27833935, 0.36241794, 0.45585132,\n",
       "        0.5524991 , 0.64533648, 0.72838249, 0.79806763, 0.85347117],\n",
       "       [0.15817212, 0.21685946, 0.28982511, 0.37556762, 0.46989261,\n",
       "        0.56641856, 0.65815493, 0.73941145, 0.80701673, 0.86039445],\n",
       "       [0.16583868, 0.22660487, 0.30158677, 0.38890339, 0.48398173,\n",
       "        0.580234  , 0.67074647, 0.75014621, 0.81566084, 0.86704157],\n",
       "       [0.17380011, 0.23665588, 0.31361496, 0.40240753, 0.49809636,\n",
       "        0.59392483, 0.68309752, 0.76058194, 0.8240022 , 0.87341876],\n",
       "       [0.18206032, 0.24701031, 0.32589901, 0.41606133, 0.51221402,\n",
       "        0.6074712 , 0.6951958 , 0.77071503, 0.83204384, 0.87953257],\n",
       "       [0.19062254, 0.25766486, 0.33842699, 0.42984517, 0.52631222,\n",
       "        0.62085416, 0.7070303 , 0.78054299, 0.83978948, 0.88538984],\n",
       "       [0.19948923, 0.26861504, 0.35118566, 0.44373865, 0.54036859,\n",
       "        0.6340557 , 0.71859131, 0.79006443, 0.84724349, 0.89099762],\n",
       "       [0.20866202, 0.27985515, 0.36416057, 0.45772068, 0.55436103,\n",
       "        0.64705889, 0.7298704 , 0.79927901, 0.85441082, 0.89636312],\n",
       "       [0.21814166, 0.29137821, 0.37733606, 0.47176963, 0.56826782,\n",
       "        0.6598479 , 0.74086045, 0.80818733, 0.86129691, 0.90149372],\n",
       "       [0.22792791, 0.30317599, 0.39069533, 0.48586345, 0.58206782,\n",
       "        0.67240811, 0.75155557, 0.8167909 , 0.86790766, 0.90639685],\n",
       "       [0.23801954, 0.31523895, 0.40422054, 0.49997978, 0.59574051,\n",
       "        0.68472613, 0.76195112, 0.8250921 , 0.87424933, 0.91108   ],\n",
       "       [0.24841423, 0.32755626, 0.41789283, 0.51409614, 0.60926616,\n",
       "        0.69678984, 0.77204362, 0.83309402, 0.88032853, 0.91555067],\n",
       "       [0.2591085 , 0.3401158 , 0.43169249, 0.52819005, 0.62262593,\n",
       "        0.70858839, 0.78183075, 0.84080049, 0.88615211, 0.91981635],\n",
       "       [0.27009771, 0.35290417, 0.44559901, 0.54223917, 0.63580197,\n",
       "        0.72011225, 0.79131126, 0.84821597, 0.89172715, 0.92388448],\n",
       "       [0.28137598, 0.36590677, 0.45959123, 0.55622142, 0.64877748,\n",
       "        0.73135317, 0.80048493, 0.85534546, 0.89706089, 0.92776241],\n",
       "       [0.29293619, 0.37910776, 0.47364745, 0.57011519, 0.66153679,\n",
       "        0.74230419, 0.8093525 , 0.86219448, 0.90216072, 0.93145744],\n",
       "       [0.30476992, 0.39249022, 0.48774557, 0.58389937, 0.67406545,\n",
       "        0.7529596 , 0.81791559, 0.86876897, 0.90703407, 0.9349767 ],\n",
       "       [0.31686746, 0.40603616, 0.5018632 , 0.59755357, 0.68635022,\n",
       "        0.7633149 , 0.82617667, 0.87507524, 0.91168844, 0.93832724],\n",
       "       [0.32921781, 0.4197266 , 0.51597787, 0.61105816, 0.69837915,\n",
       "        0.77336678, 0.83413894, 0.88111994, 0.91613134, 0.94151593],\n",
       "       [0.34180867, 0.43354171, 0.53006709, 0.62439444, 0.71014159,\n",
       "        0.78311306, 0.84180633, 0.88690995, 0.92037024, 0.94454949],\n",
       "       [0.3546265 , 0.4474609 , 0.54410855, 0.63754468, 0.72162816,\n",
       "        0.79255264, 0.84918336, 0.89245238, 0.92441257, 0.94743449],\n",
       "       [0.36765649, 0.46146292, 0.55808025, 0.65049222, 0.73283079,\n",
       "        0.80168541, 0.85627511, 0.8977545 , 0.9282657 , 0.95017731],\n",
       "       [0.3808827 , 0.47552602, 0.5719606 , 0.66322158, 0.74374268,\n",
       "        0.81051225, 0.86308716, 0.90282368, 0.93193686, 0.95278414],\n",
       "       [0.39428803, 0.48962803, 0.58572861, 0.67571844, 0.75435829,\n",
       "        0.8190349 , 0.8696255 , 0.90766739, 0.93543322, 0.95526099]])"
      ]
     },
     "execution_count": 115,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p_win"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import plotly\n",
    "import plotly.graph_objs as go\n",
    "\n",
    "surface = go.Surface(x=xx, y=yy, z=p_win, colorscale='Viridis')\n",
    "surface_fig = go.Figure(data=[surface])\n",
    "\n",
    "surface_fig.update_layout(\n",
    "    scene=dict(xaxis_title='PTS', yaxis_title='REB', zaxis_title='Prediction'))\n",
    "\n",
    "plotly.offline.iplot(surface_fig)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import plotly\n",
    "import plotly.graph_objs as go\n",
    "\n",
    "contour = go.Contour(x=xx[0, :], y=yy[:, 0], z=p_win, colorscale='Viridis')\n",
    "contour_fig = go.Figure(data=[contour])\n",
    "\n",
    "contour_fig.update_layout(xaxis_title='PTS', yaxis_title='REB')\n",
    "\n",
    "plotly.offline.iplot(contour_fig)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [],
   "source": [
    "xx, yy = np.meshgrid(np.linspace(60, 175, 500), np.linspace(20, 75, 500))\n",
    "\n",
    "classification = logistic_regression_model_2_features.predict(np.c_[xx.ravel(),\n",
    "                                                                    yy.ravel()])\n",
    "classification = classification.reshape(xx.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.colors import ListedColormap\n",
    "sns_cmap = ListedColormap(np.array(sns.color_palette())[0:2, :])\n",
    "\n",
    "cs = plt.contourf(xx, yy, classification, cmap=sns_cmap)\n",
    "plt.xlabel(\"PTS\")\n",
    "plt.ylabel(\"REB\")\n",
    "plt.savefig(\"2d_prediction_plot.png\", bbox_inches=\"tight\", dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.colors import ListedColormap\n",
    "sns_cmap = ListedColormap(np.array(sns.color_palette())[0:2, :])\n",
    "\n",
    "cs = plt.contourf(xx, yy, classification, cmap=sns_cmap)\n",
    "plt.xlabel(\"PTS\")\n",
    "plt.ylabel(\"REB\")\n",
    "sns.scatterplot(data=df,\n",
    "                x=\"PTS\",\n",
    "                y=\"REB\",\n",
    "                hue=\"WON\",\n",
    "                s=6,\n",
    "                edgecolor=\"black\",\n",
    "                linewidth=0.5)\n",
    "plt.savefig(\"2d_prediction_plot_with_data.png\", bbox_inches=\"tight\", dpi=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we plot the correctness of our predictions vs. PTS, we see that the story is more complicated than before. There is no longer a dividing line that separates our predictions.\n",
    "To understand the predictions made by our model, we have to look at the "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='ovr', n_jobs=1,\n",
       "          penalty='l2', random_state=None, solver='liblinear', tol=0.0001,\n",
       "          verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logistic_regression_model_6 = LogisticRegression(penalty='l2')\n",
    "logistic_regression_model_6.fit(df[[\"PTS\", \"REB\", \"AST\", \"STL\", \"BLK\", \"FGA\"]],\n",
    "                                df[\"WON\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.10519691,  0.19374609,  0.07211553,  0.18848249,  0.05883622,\n",
       "        -0.19306054]])"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logistic_regression_model_6.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 0, 0, ..., 0, 0, 1], dtype=int64)"
      ]
     },
     "execution_count": 123,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_hat_class = logistic_regression_model_6.predict(\n",
    "    df[[\"PTS\", \"REB\", \"AST\", \"STL\", \"BLK\", \"FGA\"]])\n",
    "y_hat_class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1], dtype=int64)"
      ]
     },
     "execution_count": 124,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logistic_regression_model_6.predict([[100, 35, 10, 20, 16, 45]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[6.59327133e-04, 9.99340673e-01]])"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logistic_regression_model_6.predict_proba([[100, 35, 10, 20, 16, 45]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [],
   "source": [
    "correctly_predicted_games = df[y_hat_class == df[\"WON\"]]\n",
    "incorrectly_predicted_games = df[y_hat_class != df[\"WON\"]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7869918699186992"
      ]
     },
     "execution_count": 127,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "accuracy = len(correctly_predicted_games) / len(df)\n",
    "accuracy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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